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Finding the Third Proportional to 62,387 and 133,708

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Solution

The third proportional to 62,387 and 133,708 is: 286,563.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,387 : 133,708 = 133,708 : x
  2. Step 2: Convert to fraction form
    62,387/133,708 = 133,708/x
  3. Step 3: Cross multiply
    62,387x = 133,708 × 133,708
  4. Step 4: Simplify right side
    62,387x = 17,877,829,264
  5. Step 5: Solve for x
    x = 17,877,829,264/62,387
  6. Step 6: Final answer
    x = 286,563.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.