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Finding the Third Proportional to 71,822 and 152,724

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Solution

The third proportional to 71,822 and 152,724 is: 324,755.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,822 : 152,724 = 152,724 : x
  2. Step 2: Convert to fraction form
    71,822/152,724 = 152,724/x
  3. Step 3: Cross multiply
    71,822x = 152,724 × 152,724
  4. Step 4: Simplify right side
    71,822x = 23,324,620,176
  5. Step 5: Solve for x
    x = 23,324,620,176/71,822
  6. Step 6: Final answer
    x = 324,755.93

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.