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Finding the Third Proportional to 126,906.75 and 185,986.13

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Solution

The third proportional to 126,906.75 and 185,986.13 is: 272,568.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,906.75 : 185,986.13 = 185,986.13 : x
  2. Step 2: Convert to fraction form
    126,906.75/185,986.13 = 185,986.13/x
  3. Step 3: Cross multiply
    126,906.75x = 185,986.13 × 185,986.13
  4. Step 4: Simplify right side
    126,906.75x = 34,590,838,692.52
  5. Step 5: Solve for x
    x = 34,590,838,692.52/126,906.75
  6. Step 6: Final answer
    x = 272,568.94

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.