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Finding the Third Proportional to 68,082.75 and 104,995.13

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Solution

The third proportional to 68,082.75 and 104,995.13 is: 161,920.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,082.75 : 104,995.13 = 104,995.13 : x
  2. Step 2: Convert to fraction form
    68,082.75/104,995.13 = 104,995.13/x
  3. Step 3: Cross multiply
    68,082.75x = 104,995.13 × 104,995.13
  4. Step 4: Simplify right side
    68,082.75x = 11,023,976,273.77
  5. Step 5: Solve for x
    x = 11,023,976,273.77/68,082.75
  6. Step 6: Final answer
    x = 161,920.26

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.