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Finding the Third Proportional to 85,136.06 and 127,704.09

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Solution

The third proportional to 85,136.06 and 127,704.09 is: 191,556.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,136.06 : 127,704.09 = 127,704.09 : x
  2. Step 2: Convert to fraction form
    85,136.06/127,704.09 = 127,704.09/x
  3. Step 3: Cross multiply
    85,136.06x = 127,704.09 × 127,704.09
  4. Step 4: Simplify right side
    85,136.06x = 16,308,335,560.51
  5. Step 5: Solve for x
    x = 16,308,335,560.51/85,136.06
  6. Step 6: Final answer
    x = 191,556.14

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.