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Finding the Third Proportional to 89,691.75 and 137,414.25

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Solution

The third proportional to 89,691.75 and 137,414.25 is: 210,528.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,691.75 : 137,414.25 = 137,414.25 : x
  2. Step 2: Convert to fraction form
    89,691.75/137,414.25 = 137,414.25/x
  3. Step 3: Cross multiply
    89,691.75x = 137,414.25 × 137,414.25
  4. Step 4: Simplify right side
    89,691.75x = 18,882,676,103.06
  5. Step 5: Solve for x
    x = 18,882,676,103.06/89,691.75
  6. Step 6: Final answer
    x = 210,528.57

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.