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Finding the Third Proportional to 56,986 and 123,631

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Solution

The third proportional to 56,986 and 123,631 is: 268,217.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,986 : 123,631 = 123,631 : x
  2. Step 2: Convert to fraction form
    56,986/123,631 = 123,631/x
  3. Step 3: Cross multiply
    56,986x = 123,631 × 123,631
  4. Step 4: Simplify right side
    56,986x = 15,284,624,161
  5. Step 5: Solve for x
    x = 15,284,624,161/56,986
  6. Step 6: Final answer
    x = 268,217.18

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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.