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Finding the Third Proportional to 63,984 and 95,932

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Solution

The third proportional to 63,984 and 95,932 is: 143,832.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,984 : 95,932 = 95,932 : x
  2. Step 2: Convert to fraction form
    63,984/95,932 = 95,932/x
  3. Step 3: Cross multiply
    63,984x = 95,932 × 95,932
  4. Step 4: Simplify right side
    63,984x = 9,202,948,624
  5. Step 5: Solve for x
    x = 9,202,948,624/63,984
  6. Step 6: Final answer
    x = 143,832.03

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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.