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Finding the Third Proportional to 96,909.75 and 142,175.25

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Solution

The third proportional to 96,909.75 and 142,175.25 is: 208,583.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,909.75 : 142,175.25 = 142,175.25 : x
  2. Step 2: Convert to fraction form
    96,909.75/142,175.25 = 142,175.25/x
  3. Step 3: Cross multiply
    96,909.75x = 142,175.25 × 142,175.25
  4. Step 4: Simplify right side
    96,909.75x = 20,213,801,712.56
  5. Step 5: Solve for x
    x = 20,213,801,712.56/96,909.75
  6. Step 6: Final answer
    x = 208,583.78

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.