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Finding the Third Proportional to 126,151.25 and 149,191.25

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Solution

The third proportional to 126,151.25 and 149,191.25 is: 176,439.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,151.25 : 149,191.25 = 149,191.25 : x
  2. Step 2: Convert to fraction form
    126,151.25/149,191.25 = 149,191.25/x
  3. Step 3: Cross multiply
    126,151.25x = 149,191.25 × 149,191.25
  4. Step 4: Simplify right side
    126,151.25x = 22,258,029,076.56
  5. Step 5: Solve for x
    x = 22,258,029,076.56/126,151.25
  6. Step 6: Final answer
    x = 176,439.23

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.