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Finding the Third Proportional to 96,253.31 and 148,138.88

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Solution

The third proportional to 96,253.31 and 148,138.88 is: 227,993.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,253.31 : 148,138.88 = 148,138.88 : x
  2. Step 2: Convert to fraction form
    96,253.31/148,138.88 = 148,138.88/x
  3. Step 3: Cross multiply
    96,253.31x = 148,138.88 × 148,138.88
  4. Step 4: Simplify right side
    96,253.31x = 21,945,126,286.27
  5. Step 5: Solve for x
    x = 21,945,126,286.27/96,253.31
  6. Step 6: Final answer
    x = 227,993.47

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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.