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Finding the Third Proportional to 56,736 and 123,291

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Solution

The third proportional to 56,736 and 123,291 is: 267,919.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,736 : 123,291 = 123,291 : x
  2. Step 2: Convert to fraction form
    56,736/123,291 = 123,291/x
  3. Step 3: Cross multiply
    56,736x = 123,291 × 123,291
  4. Step 4: Simplify right side
    56,736x = 15,200,670,681
  5. Step 5: Solve for x
    x = 15,200,670,681/56,736
  6. Step 6: Final answer
    x = 267,919.32

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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.