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Finding the Third Proportional to 89,694 and 121,866

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Solution

The third proportional to 89,694 and 121,866 is: 165,577.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,694 : 121,866 = 121,866 : x
  2. Step 2: Convert to fraction form
    89,694/121,866 = 121,866/x
  3. Step 3: Cross multiply
    89,694x = 121,866 × 121,866
  4. Step 4: Simplify right side
    89,694x = 14,851,321,956
  5. Step 5: Solve for x
    x = 14,851,321,956/89,694
  6. Step 6: Final answer
    x = 165,577.65

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.