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Finding the Third Proportional to 96,250.78 and 144,425.53

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Solution

The third proportional to 96,250.78 and 144,425.53 is: 216,712.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,250.78 : 144,425.53 = 144,425.53 : x
  2. Step 2: Convert to fraction form
    96,250.78/144,425.53 = 144,425.53/x
  3. Step 3: Cross multiply
    96,250.78x = 144,425.53 × 144,425.53
  4. Step 4: Simplify right side
    96,250.78x = 20,858,734,076.84
  5. Step 5: Solve for x
    x = 20,858,734,076.84/96,250.78
  6. Step 6: Final answer
    x = 216,712.36

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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.