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Finding the Third Proportional to 56,586 and 124,467

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Solution

The third proportional to 56,586 and 124,467 is: 273,778.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,586 : 124,467 = 124,467 : x
  2. Step 2: Convert to fraction form
    56,586/124,467 = 124,467/x
  3. Step 3: Cross multiply
    56,586x = 124,467 × 124,467
  4. Step 4: Simplify right side
    56,586x = 15,492,034,089
  5. Step 5: Solve for x
    x = 15,492,034,089/56,586
  6. Step 6: Final answer
    x = 273,778.57

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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.