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Finding the Third Proportional to 68,834.25 and 141,373.13

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Solution

The third proportional to 68,834.25 and 141,373.13 is: 290,354.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,834.25 : 141,373.13 = 141,373.13 : x
  2. Step 2: Convert to fraction form
    68,834.25/141,373.13 = 141,373.13/x
  3. Step 3: Cross multiply
    68,834.25x = 141,373.13 × 141,373.13
  4. Step 4: Simplify right side
    68,834.25x = 19,986,360,472.27
  5. Step 5: Solve for x
    x = 19,986,360,472.27/68,834.25
  6. Step 6: Final answer
    x = 290,354.88

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.