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Finding the Third Proportional to 56,674.05 and 123,710.73

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Solution

The third proportional to 56,674.05 and 123,710.73 is: 270,041.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,674.05 : 123,710.73 = 123,710.73 : x
  2. Step 2: Convert to fraction form
    56,674.05/123,710.73 = 123,710.73/x
  3. Step 3: Cross multiply
    56,674.05x = 123,710.73 × 123,710.73
  4. Step 4: Simplify right side
    56,674.05x = 15,304,344,833.11
  5. Step 5: Solve for x
    x = 15,304,344,833.11/56,674.05
  6. Step 6: Final answer
    x = 270,041.47

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.