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Finding the Third Proportional to 63,191 and 95,042

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Solution

The third proportional to 63,191 and 95,042 is: 142,947.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,191 : 95,042 = 95,042 : x
  2. Step 2: Convert to fraction form
    63,191/95,042 = 95,042/x
  3. Step 3: Cross multiply
    63,191x = 95,042 × 95,042
  4. Step 4: Simplify right side
    63,191x = 9,032,981,764
  5. Step 5: Solve for x
    x = 9,032,981,764/63,191
  6. Step 6: Final answer
    x = 142,947.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.