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Finding the Third Proportional to 47,189 and 101,758

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Solution

The third proportional to 47,189 and 101,758 is: 219,430.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,189 : 101,758 = 101,758 : x
  2. Step 2: Convert to fraction form
    47,189/101,758 = 101,758/x
  3. Step 3: Cross multiply
    47,189x = 101,758 × 101,758
  4. Step 4: Simplify right side
    47,189x = 10,354,690,564
  5. Step 5: Solve for x
    x = 10,354,690,564/47,189
  6. Step 6: Final answer
    x = 219,430.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.