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Finding the Third Proportional to 122,853.38 and 185,144.63

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Solution

The third proportional to 122,853.38 and 185,144.63 is: 279,019.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,853.38 : 185,144.63 = 185,144.63 : x
  2. Step 2: Convert to fraction form
    122,853.38/185,144.63 = 185,144.63/x
  3. Step 3: Cross multiply
    122,853.38x = 185,144.63 × 185,144.63
  4. Step 4: Simplify right side
    122,853.38x = 34,278,532,166.39
  5. Step 5: Solve for x
    x = 34,278,532,166.39/122,853.38
  6. Step 6: Final answer
    x = 279,019.87

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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.