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Finding the Third Proportional to 47,134 and 100,748

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Solution

The third proportional to 47,134 and 100,748 is: 215,346.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,134 : 100,748 = 100,748 : x
  2. Step 2: Convert to fraction form
    47,134/100,748 = 100,748/x
  3. Step 3: Cross multiply
    47,134x = 100,748 × 100,748
  4. Step 4: Simplify right side
    47,134x = 10,150,159,504
  5. Step 5: Solve for x
    x = 10,150,159,504/47,134
  6. Step 6: Final answer
    x = 215,346.87

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.