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Finding the Third Proportional to 71,453 and 152,747

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Solution

The third proportional to 71,453 and 152,747 is: 326,531.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,453 : 152,747 = 152,747 : x
  2. Step 2: Convert to fraction form
    71,453/152,747 = 152,747/x
  3. Step 3: Cross multiply
    71,453x = 152,747 × 152,747
  4. Step 4: Simplify right side
    71,453x = 23,331,646,009
  5. Step 5: Solve for x
    x = 23,331,646,009/71,453
  6. Step 6: Final answer
    x = 326,531.37

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