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Finding the Third Proportional to 81,713 and 126,261

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Solution

The third proportional to 81,713 and 126,261 is: 195,095.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,713 : 126,261 = 126,261 : x
  2. Step 2: Convert to fraction form
    81,713/126,261 = 126,261/x
  3. Step 3: Cross multiply
    81,713x = 126,261 × 126,261
  4. Step 4: Simplify right side
    81,713x = 15,941,840,121
  5. Step 5: Solve for x
    x = 15,941,840,121/81,713
  6. Step 6: Final answer
    x = 195,095.52

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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.