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Finding the Third Proportional to 89,494 and 121,109

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Solution

The third proportional to 89,494 and 121,109 is: 163,892.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,494 : 121,109 = 121,109 : x
  2. Step 2: Convert to fraction form
    89,494/121,109 = 121,109/x
  3. Step 3: Cross multiply
    89,494x = 121,109 × 121,109
  4. Step 4: Simplify right side
    89,494x = 14,667,389,881
  5. Step 5: Solve for x
    x = 14,667,389,881/89,494
  6. Step 6: Final answer
    x = 163,892.44

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.