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Finding the Third Proportional to 89,930 and 131,979

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Solution

The third proportional to 89,930 and 131,979 is: 193,689.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,930 : 131,979 = 131,979 : x
  2. Step 2: Convert to fraction form
    89,930/131,979 = 131,979/x
  3. Step 3: Cross multiply
    89,930x = 131,979 × 131,979
  4. Step 4: Simplify right side
    89,930x = 17,418,456,441
  5. Step 5: Solve for x
    x = 17,418,456,441/89,930
  6. Step 6: Final answer
    x = 193,689.05

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.