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Finding the Third Proportional to 121,513 and 182,267

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Solution

The third proportional to 121,513 and 182,267 is: 273,396.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,513 : 182,267 = 182,267 : x
  2. Step 2: Convert to fraction form
    121,513/182,267 = 182,267/x
  3. Step 3: Cross multiply
    121,513x = 182,267 × 182,267
  4. Step 4: Simplify right side
    121,513x = 33,221,259,289
  5. Step 5: Solve for x
    x = 33,221,259,289/121,513
  6. Step 6: Final answer
    x = 273,396.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.