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Finding the Third Proportional to 122,519.11 and 185,625.84

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Solution

The third proportional to 122,519.11 and 185,625.84 is: 281,237.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,519.11 : 185,625.84 = 185,625.84 : x
  2. Step 2: Convert to fraction form
    122,519.11/185,625.84 = 185,625.84/x
  3. Step 3: Cross multiply
    122,519.11x = 185,625.84 × 185,625.84
  4. Step 4: Simplify right side
    122,519.11x = 34,456,953,867.90
  5. Step 5: Solve for x
    x = 34,456,953,867.90/122,519.11
  6. Step 6: Final answer
    x = 281,237.38

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.