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Finding the Third Proportional to 47,918 and 68,615

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Solution

The third proportional to 47,918 and 68,615 is: 98,251.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,918 : 68,615 = 68,615 : x
  2. Step 2: Convert to fraction form
    47,918/68,615 = 68,615/x
  3. Step 3: Cross multiply
    47,918x = 68,615 × 68,615
  4. Step 4: Simplify right side
    47,918x = 4,708,018,225
  5. Step 5: Solve for x
    x = 4,708,018,225/47,918
  6. Step 6: Final answer
    x = 98,251.56

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.