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Finding the Third Proportional to 63,189 and 95,846

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Solution

The third proportional to 63,189 and 95,846 is: 145,380.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,189 : 95,846 = 95,846 : x
  2. Step 2: Convert to fraction form
    63,189/95,846 = 95,846/x
  3. Step 3: Cross multiply
    63,189x = 95,846 × 95,846
  4. Step 4: Simplify right side
    63,189x = 9,186,455,716
  5. Step 5: Solve for x
    x = 9,186,455,716/63,189
  6. Step 6: Final answer
    x = 145,380.62

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.