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Finding the Third Proportional to 100,959.75 and 141,463.13

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Solution

The third proportional to 100,959.75 and 141,463.13 is: 198,215.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,959.75 : 141,463.13 = 141,463.13 : x
  2. Step 2: Convert to fraction form
    100,959.75/141,463.13 = 141,463.13/x
  3. Step 3: Cross multiply
    100,959.75x = 141,463.13 × 141,463.13
  4. Step 4: Simplify right side
    100,959.75x = 20,011,815,734.77
  5. Step 5: Solve for x
    x = 20,011,815,734.77/100,959.75
  6. Step 6: Final answer
    x = 198,215.78

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.