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Finding the Third Proportional to 71,469.84 and 152,439.47

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Solution

The third proportional to 71,469.84 and 152,439.47 is: 325,141.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,469.84 : 152,439.47 = 152,439.47 : x
  2. Step 2: Convert to fraction form
    71,469.84/152,439.47 = 152,439.47/x
  3. Step 3: Cross multiply
    71,469.84x = 152,439.47 × 152,439.47
  4. Step 4: Simplify right side
    71,469.84x = 23,237,791,632.78
  5. Step 5: Solve for x
    x = 23,237,791,632.78/71,469.84
  6. Step 6: Final answer
    x = 325,141.21

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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.