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Finding the Third Proportional to 62,385.75 and 95,988.25

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Solution

The third proportional to 62,385.75 and 95,988.25 is: 147,689.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,385.75 : 95,988.25 = 95,988.25 : x
  2. Step 2: Convert to fraction form
    62,385.75/95,988.25 = 95,988.25/x
  3. Step 3: Cross multiply
    62,385.75x = 95,988.25 × 95,988.25
  4. Step 4: Simplify right side
    62,385.75x = 9,213,744,138.06
  5. Step 5: Solve for x
    x = 9,213,744,138.06/62,385.75
  6. Step 6: Final answer
    x = 147,689.88

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.