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Finding the Third Proportional to 56,702.25 and 124,668.75

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Solution

The third proportional to 56,702.25 and 124,668.75 is: 274,103.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,702.25 : 124,668.75 = 124,668.75 : x
  2. Step 2: Convert to fraction form
    56,702.25/124,668.75 = 124,668.75/x
  3. Step 3: Cross multiply
    56,702.25x = 124,668.75 × 124,668.75
  4. Step 4: Simplify right side
    56,702.25x = 15,542,297,226.56
  5. Step 5: Solve for x
    x = 15,542,297,226.56/56,702.25
  6. Step 6: Final answer
    x = 274,103.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.