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Finding the Third Proportional to 132,250.13 and 185,831.25

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Solution

The third proportional to 132,250.13 and 185,831.25 is: 261,120.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,250.13 : 185,831.25 = 185,831.25 : x
  2. Step 2: Convert to fraction form
    132,250.13/185,831.25 = 185,831.25/x
  3. Step 3: Cross multiply
    132,250.13x = 185,831.25 × 185,831.25
  4. Step 4: Simplify right side
    132,250.13x = 34,533,253,476.56
  5. Step 5: Solve for x
    x = 34,533,253,476.56/132,250.13
  6. Step 6: Final answer
    x = 261,120.76

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.