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Finding the Third Proportional to 63,718 and 95,734

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Solution

The third proportional to 63,718 and 95,734 is: 143,836.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,718 : 95,734 = 95,734 : x
  2. Step 2: Convert to fraction form
    63,718/95,734 = 95,734/x
  3. Step 3: Cross multiply
    63,718x = 95,734 × 95,734
  4. Step 4: Simplify right side
    63,718x = 9,164,998,756
  5. Step 5: Solve for x
    x = 9,164,998,756/63,718
  6. Step 6: Final answer
    x = 143,836.89

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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.