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Finding the Third Proportional to 82,979 and 123,927

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Solution

The third proportional to 82,979 and 123,927 is: 185,081.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,979 : 123,927 = 123,927 : x
  2. Step 2: Convert to fraction form
    82,979/123,927 = 123,927/x
  3. Step 3: Cross multiply
    82,979x = 123,927 × 123,927
  4. Step 4: Simplify right side
    82,979x = 15,357,901,329
  5. Step 5: Solve for x
    x = 15,357,901,329/82,979
  6. Step 6: Final answer
    x = 185,081.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.