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Finding the Third Proportional to 124,867 and 275,184

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Solution

The third proportional to 124,867 and 275,184 is: 606,455.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,867 : 275,184 = 275,184 : x
  2. Step 2: Convert to fraction form
    124,867/275,184 = 275,184/x
  3. Step 3: Cross multiply
    124,867x = 275,184 × 275,184
  4. Step 4: Simplify right side
    124,867x = 75,726,233,856
  5. Step 5: Solve for x
    x = 75,726,233,856/124,867
  6. Step 6: Final answer
    x = 606,455.14

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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.