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Finding the Third Proportional to 124,119.75 and 267,924

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Solution

The third proportional to 124,119.75 and 267,924 is: 578,338.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,119.75 : 267,924 = 267,924 : x
  2. Step 2: Convert to fraction form
    124,119.75/267,924 = 267,924/x
  3. Step 3: Cross multiply
    124,119.75x = 267,924 × 267,924
  4. Step 4: Simplify right side
    124,119.75x = 71,783,269,776
  5. Step 5: Solve for x
    x = 71,783,269,776/124,119.75
  6. Step 6: Final answer
    x = 578,338.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.