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Finding the Third Proportional to 29,902 and 62,902

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Solution

The third proportional to 29,902 and 62,902 is: 132,320.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,902 : 62,902 = 62,902 : x
  2. Step 2: Convert to fraction form
    29,902/62,902 = 62,902/x
  3. Step 3: Cross multiply
    29,902x = 62,902 × 62,902
  4. Step 4: Simplify right side
    29,902x = 3,956,661,604
  5. Step 5: Solve for x
    x = 3,956,661,604/29,902
  6. Step 6: Final answer
    x = 132,320.97

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.