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Finding the Third Proportional to 62,496 and 133,902

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Solution

The third proportional to 62,496 and 133,902 is: 286,894.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,496 : 133,902 = 133,902 : x
  2. Step 2: Convert to fraction form
    62,496/133,902 = 133,902/x
  3. Step 3: Cross multiply
    62,496x = 133,902 × 133,902
  4. Step 4: Simplify right side
    62,496x = 17,929,745,604
  5. Step 5: Solve for x
    x = 17,929,745,604/62,496
  6. Step 6: Final answer
    x = 286,894.29

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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.