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Finding the Third Proportional to 66,892 and 89,173

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Solution

The third proportional to 66,892 and 89,173 is: 118,875.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,892 : 89,173 = 89,173 : x
  2. Step 2: Convert to fraction form
    66,892/89,173 = 89,173/x
  3. Step 3: Cross multiply
    66,892x = 89,173 × 89,173
  4. Step 4: Simplify right side
    66,892x = 7,951,823,929
  5. Step 5: Solve for x
    x = 7,951,823,929/66,892
  6. Step 6: Final answer
    x = 118,875.56

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.