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Finding the Third Proportional to 68,882.06 and 100,963.97

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Solution

The third proportional to 68,882.06 and 100,963.97 is: 147,988.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,882.06 : 100,963.97 = 100,963.97 : x
  2. Step 2: Convert to fraction form
    68,882.06/100,963.97 = 100,963.97/x
  3. Step 3: Cross multiply
    68,882.06x = 100,963.97 × 100,963.97
  4. Step 4: Simplify right side
    68,882.06x = 10,193,722,985.75
  5. Step 5: Solve for x
    x = 10,193,722,985.75/68,882.06
  6. Step 6: Final answer
    x = 147,988.06

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.