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Finding the Third Proportional to 71,508 and 157,344

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Solution

The third proportional to 71,508 and 157,344 is: 346,214.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,508 : 157,344 = 157,344 : x
  2. Step 2: Convert to fraction form
    71,508/157,344 = 157,344/x
  3. Step 3: Cross multiply
    71,508x = 157,344 × 157,344
  4. Step 4: Simplify right side
    71,508x = 24,757,134,336
  5. Step 5: Solve for x
    x = 24,757,134,336/71,508
  6. Step 6: Final answer
    x = 346,214.89

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.