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Finding the Third Proportional to 63,438 and 95,004

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Solution

The third proportional to 63,438 and 95,004 is: 142,276.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,438 : 95,004 = 95,004 : x
  2. Step 2: Convert to fraction form
    63,438/95,004 = 95,004/x
  3. Step 3: Cross multiply
    63,438x = 95,004 × 95,004
  4. Step 4: Simplify right side
    63,438x = 9,025,760,016
  5. Step 5: Solve for x
    x = 9,025,760,016/63,438
  6. Step 6: Final answer
    x = 142,276.87

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