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Finding the Third Proportional to 63,908 and 96,756

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Solution

The third proportional to 63,908 and 96,756 is: 146,487.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,908 : 96,756 = 96,756 : x
  2. Step 2: Convert to fraction form
    63,908/96,756 = 96,756/x
  3. Step 3: Cross multiply
    63,908x = 96,756 × 96,756
  4. Step 4: Simplify right side
    63,908x = 9,361,723,536
  5. Step 5: Solve for x
    x = 9,361,723,536/63,908
  6. Step 6: Final answer
    x = 146,487.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.