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Finding the Third Proportional to 47,394 and 72,115

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Solution

The third proportional to 47,394 and 72,115 is: 109,730.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,394 : 72,115 = 72,115 : x
  2. Step 2: Convert to fraction form
    47,394/72,115 = 72,115/x
  3. Step 3: Cross multiply
    47,394x = 72,115 × 72,115
  4. Step 4: Simplify right side
    47,394x = 5,200,573,225
  5. Step 5: Solve for x
    x = 5,200,573,225/47,394
  6. Step 6: Final answer
    x = 109,730.62

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.