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Finding the Third Proportional to 96,759.69 and 142,294.38

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Solution

The third proportional to 96,759.69 and 142,294.38 is: 209,257.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,759.69 : 142,294.38 = 142,294.38 : x
  2. Step 2: Convert to fraction form
    96,759.69/142,294.38 = 142,294.38/x
  3. Step 3: Cross multiply
    96,759.69x = 142,294.38 × 142,294.38
  4. Step 4: Simplify right side
    96,759.69x = 20,247,689,156.64
  5. Step 5: Solve for x
    x = 20,247,689,156.64/96,759.69
  6. Step 6: Final answer
    x = 209,257.49

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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.