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Finding the Third Proportional to 122,986 and 185,339

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Solution

The third proportional to 122,986 and 185,339 is: 279,304.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,986 : 185,339 = 185,339 : x
  2. Step 2: Convert to fraction form
    122,986/185,339 = 185,339/x
  3. Step 3: Cross multiply
    122,986x = 185,339 × 185,339
  4. Step 4: Simplify right side
    122,986x = 34,350,544,921
  5. Step 5: Solve for x
    x = 34,350,544,921/122,986
  6. Step 6: Final answer
    x = 279,304.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.