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Finding the Third Proportional to 100,011.38 and 154,757.25

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Solution

The third proportional to 100,011.38 and 154,757.25 is: 239,470.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,011.38 : 154,757.25 = 154,757.25 : x
  2. Step 2: Convert to fraction form
    100,011.38/154,757.25 = 154,757.25/x
  3. Step 3: Cross multiply
    100,011.38x = 154,757.25 × 154,757.25
  4. Step 4: Simplify right side
    100,011.38x = 23,949,806,427.56
  5. Step 5: Solve for x
    x = 23,949,806,427.56/100,011.38
  6. Step 6: Final answer
    x = 239,470.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.