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Finding the Third Proportional to 81,732.38 and 123,069.38

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Solution

The third proportional to 81,732.38 and 123,069.38 is: 185,312.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,732.38 : 123,069.38 = 123,069.38 : x
  2. Step 2: Convert to fraction form
    81,732.38/123,069.38 = 123,069.38/x
  3. Step 3: Cross multiply
    81,732.38x = 123,069.38 × 123,069.38
  4. Step 4: Simplify right side
    81,732.38x = 15,146,071,062.89
  5. Step 5: Solve for x
    x = 15,146,071,062.89/81,732.38
  6. Step 6: Final answer
    x = 185,312.99

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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.