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Finding the Third Proportional to 77,963.13 and 101,951.79

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Solution

The third proportional to 77,963.13 and 101,951.79 is: 133,321.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,963.13 : 101,951.79 = 101,951.79 : x
  2. Step 2: Convert to fraction form
    77,963.13/101,951.79 = 101,951.79/x
  3. Step 3: Cross multiply
    77,963.13x = 101,951.79 × 101,951.79
  4. Step 4: Simplify right side
    77,963.13x = 10,394,167,293.04
  5. Step 5: Solve for x
    x = 10,394,167,293.04/77,963.13
  6. Step 6: Final answer
    x = 133,321.57

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.