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Finding the Third Proportional to 56,493 and 125,376.75

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Solution

The third proportional to 56,493 and 125,376.75 is: 278,252.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,493 : 125,376.75 = 125,376.75 : x
  2. Step 2: Convert to fraction form
    56,493/125,376.75 = 125,376.75/x
  3. Step 3: Cross multiply
    56,493x = 125,376.75 × 125,376.75
  4. Step 4: Simplify right side
    56,493x = 15,719,329,440.56
  5. Step 5: Solve for x
    x = 15,719,329,440.56/56,493
  6. Step 6: Final answer
    x = 278,252.69

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.