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Finding the Third Proportional to 81,360 and 125,966

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Solution

The third proportional to 81,360 and 125,966 is: 195,027.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,360 : 125,966 = 125,966 : x
  2. Step 2: Convert to fraction form
    81,360/125,966 = 125,966/x
  3. Step 3: Cross multiply
    81,360x = 125,966 × 125,966
  4. Step 4: Simplify right side
    81,360x = 15,867,433,156
  5. Step 5: Solve for x
    x = 15,867,433,156/81,360
  6. Step 6: Final answer
    x = 195,027.45

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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.