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Finding the Third Proportional to 127,180.13 and 196,836.75

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Solution

The third proportional to 127,180.13 and 196,836.75 is: 304,644.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,180.13 : 196,836.75 = 196,836.75 : x
  2. Step 2: Convert to fraction form
    127,180.13/196,836.75 = 196,836.75/x
  3. Step 3: Cross multiply
    127,180.13x = 196,836.75 × 196,836.75
  4. Step 4: Simplify right side
    127,180.13x = 38,744,706,150.56
  5. Step 5: Solve for x
    x = 38,744,706,150.56/127,180.13
  6. Step 6: Final answer
    x = 304,644.35

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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.