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Finding the Third Proportional to 56,725.31 and 123,838.88

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Solution

The third proportional to 56,725.31 and 123,838.88 is: 270,356.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,725.31 : 123,838.88 = 123,838.88 : x
  2. Step 2: Convert to fraction form
    56,725.31/123,838.88 = 123,838.88/x
  3. Step 3: Cross multiply
    56,725.31x = 123,838.88 × 123,838.88
  4. Step 4: Simplify right side
    56,725.31x = 15,336,066,961.27
  5. Step 5: Solve for x
    x = 15,336,066,961.27/56,725.31
  6. Step 6: Final answer
    x = 270,356.68

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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.