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Finding the Third Proportional to 56,387 and 122,493

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Solution

The third proportional to 56,387 and 122,493 is: 266,099.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,387 : 122,493 = 122,493 : x
  2. Step 2: Convert to fraction form
    56,387/122,493 = 122,493/x
  3. Step 3: Cross multiply
    56,387x = 122,493 × 122,493
  4. Step 4: Simplify right side
    56,387x = 15,004,535,049
  5. Step 5: Solve for x
    x = 15,004,535,049/56,387
  6. Step 6: Final answer
    x = 266,099.19

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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.