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Finding the Third Proportional to 47,350 and 101,870

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Solution

The third proportional to 47,350 and 101,870 is: 219,165.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,350 : 101,870 = 101,870 : x
  2. Step 2: Convert to fraction form
    47,350/101,870 = 101,870/x
  3. Step 3: Cross multiply
    47,350x = 101,870 × 101,870
  4. Step 4: Simplify right side
    47,350x = 10,377,496,900
  5. Step 5: Solve for x
    x = 10,377,496,900/47,350
  6. Step 6: Final answer
    x = 219,165.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.