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Finding the Third Proportional to 47,128 and 72,876

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Solution

The third proportional to 47,128 and 72,876 is: 112,691.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,128 : 72,876 = 72,876 : x
  2. Step 2: Convert to fraction form
    47,128/72,876 = 72,876/x
  3. Step 3: Cross multiply
    47,128x = 72,876 × 72,876
  4. Step 4: Simplify right side
    47,128x = 5,310,911,376
  5. Step 5: Solve for x
    x = 5,310,911,376/47,128
  6. Step 6: Final answer
    x = 112,691.21

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.