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Finding the Third Proportional to 63,042 and 95,873

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Solution

The third proportional to 63,042 and 95,873 is: 145,801.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,042 : 95,873 = 95,873 : x
  2. Step 2: Convert to fraction form
    63,042/95,873 = 95,873/x
  3. Step 3: Cross multiply
    63,042x = 95,873 × 95,873
  4. Step 4: Simplify right side
    63,042x = 9,191,632,129
  5. Step 5: Solve for x
    x = 9,191,632,129/63,042
  6. Step 6: Final answer
    x = 145,801.72

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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.