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Finding the Third Proportional to 56,945.53 and 123,721.17

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Solution

The third proportional to 56,945.53 and 123,721.17 is: 268,799.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,945.53 : 123,721.17 = 123,721.17 : x
  2. Step 2: Convert to fraction form
    56,945.53/123,721.17 = 123,721.17/x
  3. Step 3: Cross multiply
    56,945.53x = 123,721.17 × 123,721.17
  4. Step 4: Simplify right side
    56,945.53x = 15,306,928,370.12
  5. Step 5: Solve for x
    x = 15,306,928,370.12/56,945.53
  6. Step 6: Final answer
    x = 268,799.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.