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Finding the Third Proportional to 89,694 and 138,915

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Solution

The third proportional to 89,694 and 138,915 is: 215,146.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,694 : 138,915 = 138,915 : x
  2. Step 2: Convert to fraction form
    89,694/138,915 = 138,915/x
  3. Step 3: Cross multiply
    89,694x = 138,915 × 138,915
  4. Step 4: Simplify right side
    89,694x = 19,297,377,225
  5. Step 5: Solve for x
    x = 19,297,377,225/89,694
  6. Step 6: Final answer
    x = 215,146.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.