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Finding the Third Proportional to 71,354 and 152,552

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Solution

The third proportional to 71,354 and 152,552 is: 326,150.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,354 : 152,552 = 152,552 : x
  2. Step 2: Convert to fraction form
    71,354/152,552 = 152,552/x
  3. Step 3: Cross multiply
    71,354x = 152,552 × 152,552
  4. Step 4: Simplify right side
    71,354x = 23,272,112,704
  5. Step 5: Solve for x
    x = 23,272,112,704/71,354
  6. Step 6: Final answer
    x = 326,150.08

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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.