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Finding the Third Proportional to 63,868.50 and 95,850

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Solution

The third proportional to 63,868.50 and 95,850 is: 143,845.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,868.50 : 95,850 = 95,850 : x
  2. Step 2: Convert to fraction form
    63,868.50/95,850 = 95,850/x
  3. Step 3: Cross multiply
    63,868.50x = 95,850 × 95,850
  4. Step 4: Simplify right side
    63,868.50x = 9,187,222,500
  5. Step 5: Solve for x
    x = 9,187,222,500/63,868.50
  6. Step 6: Final answer
    x = 143,845.91

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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.