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Finding the Third Proportional to 77,979 and 123,969

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Solution

The third proportional to 77,979 and 123,969 is: 197,082.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,979 : 123,969 = 123,969 : x
  2. Step 2: Convert to fraction form
    77,979/123,969 = 123,969/x
  3. Step 3: Cross multiply
    77,979x = 123,969 × 123,969
  4. Step 4: Simplify right side
    77,979x = 15,368,312,961
  5. Step 5: Solve for x
    x = 15,368,312,961/77,979
  6. Step 6: Final answer
    x = 197,082.71

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.