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Finding the Third Proportional to 122,925.66 and 185,519.25

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Solution

The third proportional to 122,925.66 and 185,519.25 is: 279,985.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,925.66 : 185,519.25 = 185,519.25 : x
  2. Step 2: Convert to fraction form
    122,925.66/185,519.25 = 185,519.25/x
  3. Step 3: Cross multiply
    122,925.66x = 185,519.25 × 185,519.25
  4. Step 4: Simplify right side
    122,925.66x = 34,417,392,120.56
  5. Step 5: Solve for x
    x = 34,417,392,120.56/122,925.66
  6. Step 6: Final answer
    x = 279,985.43

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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.