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Finding the Third Proportional to 122,929 and 185,524

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Solution

The third proportional to 122,929 and 185,524 is: 279,992.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,929 : 185,524 = 185,524 : x
  2. Step 2: Convert to fraction form
    122,929/185,524 = 185,524/x
  3. Step 3: Cross multiply
    122,929x = 185,524 × 185,524
  4. Step 4: Simplify right side
    122,929x = 34,419,154,576
  5. Step 5: Solve for x
    x = 34,419,154,576/122,929
  6. Step 6: Final answer
    x = 279,992.15

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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.