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Finding the Third Proportional to 73,136 and 152,020

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Solution

The third proportional to 73,136 and 152,020 is: 315,987.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,136 : 152,020 = 152,020 : x
  2. Step 2: Convert to fraction form
    73,136/152,020 = 152,020/x
  3. Step 3: Cross multiply
    73,136x = 152,020 × 152,020
  4. Step 4: Simplify right side
    73,136x = 23,110,080,400
  5. Step 5: Solve for x
    x = 23,110,080,400/73,136
  6. Step 6: Final answer
    x = 315,987.75

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.