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Finding the Third Proportional to 70,136 and 96,420

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Solution

The third proportional to 70,136 and 96,420 is: 132,554.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,136 : 96,420 = 96,420 : x
  2. Step 2: Convert to fraction form
    70,136/96,420 = 96,420/x
  3. Step 3: Cross multiply
    70,136x = 96,420 × 96,420
  4. Step 4: Simplify right side
    70,136x = 9,296,816,400
  5. Step 5: Solve for x
    x = 9,296,816,400/70,136
  6. Step 6: Final answer
    x = 132,554.13

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.