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Finding the Third Proportional to 71,394 and 155,500

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Solution

The third proportional to 71,394 and 155,500 is: 338,687.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,394 : 155,500 = 155,500 : x
  2. Step 2: Convert to fraction form
    71,394/155,500 = 155,500/x
  3. Step 3: Cross multiply
    71,394x = 155,500 × 155,500
  4. Step 4: Simplify right side
    71,394x = 24,180,250,000
  5. Step 5: Solve for x
    x = 24,180,250,000/71,394
  6. Step 6: Final answer
    x = 338,687.42

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.