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Finding the Third Proportional to 56,989 and 124,012

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Solution

The third proportional to 56,989 and 124,012 is: 269,858.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,989 : 124,012 = 124,012 : x
  2. Step 2: Convert to fraction form
    56,989/124,012 = 124,012/x
  3. Step 3: Cross multiply
    56,989x = 124,012 × 124,012
  4. Step 4: Simplify right side
    56,989x = 15,378,976,144
  5. Step 5: Solve for x
    x = 15,378,976,144/56,989
  6. Step 6: Final answer
    x = 269,858.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.