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Finding the Third Proportional to 47,918 and 72,543

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Solution

The third proportional to 47,918 and 72,543 is: 109,822.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,918 : 72,543 = 72,543 : x
  2. Step 2: Convert to fraction form
    47,918/72,543 = 72,543/x
  3. Step 3: Cross multiply
    47,918x = 72,543 × 72,543
  4. Step 4: Simplify right side
    47,918x = 5,262,486,849
  5. Step 5: Solve for x
    x = 5,262,486,849/47,918
  6. Step 6: Final answer
    x = 109,822.76

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.