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Finding the Third Proportional to 81,726.75 and 123,060.38

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Solution

The third proportional to 81,726.75 and 123,060.38 is: 185,298.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,726.75 : 123,060.38 = 123,060.38 : x
  2. Step 2: Convert to fraction form
    81,726.75/123,060.38 = 123,060.38/x
  3. Step 3: Cross multiply
    81,726.75x = 123,060.38 × 123,060.38
  4. Step 4: Simplify right side
    81,726.75x = 15,143,855,895.14
  5. Step 5: Solve for x
    x = 15,143,855,895.14/81,726.75
  6. Step 6: Final answer
    x = 185,298.64

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.