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Finding the Third Proportional to 63,898.50 and 96,744

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Solution

The third proportional to 63,898.50 and 96,744 is: 146,472.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,898.50 : 96,744 = 96,744 : x
  2. Step 2: Convert to fraction form
    63,898.50/96,744 = 96,744/x
  3. Step 3: Cross multiply
    63,898.50x = 96,744 × 96,744
  4. Step 4: Simplify right side
    63,898.50x = 9,359,401,536
  5. Step 5: Solve for x
    x = 9,359,401,536/63,898.50
  6. Step 6: Final answer
    x = 146,472.95

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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.