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Finding the Third Proportional to 89,713 and 121,894

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Solution

The third proportional to 89,713 and 121,894 is: 165,618.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,713 : 121,894 = 121,894 : x
  2. Step 2: Convert to fraction form
    89,713/121,894 = 121,894/x
  3. Step 3: Cross multiply
    89,713x = 121,894 × 121,894
  4. Step 4: Simplify right side
    89,713x = 14,858,147,236
  5. Step 5: Solve for x
    x = 14,858,147,236/89,713
  6. Step 6: Final answer
    x = 165,618.66

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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.