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Finding the Third Proportional to 50,959.13 and 120,138.19

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Solution

The third proportional to 50,959.13 and 120,138.19 is: 283,230.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,959.13 : 120,138.19 = 120,138.19 : x
  2. Step 2: Convert to fraction form
    50,959.13/120,138.19 = 120,138.19/x
  3. Step 3: Cross multiply
    50,959.13x = 120,138.19 × 120,138.19
  4. Step 4: Simplify right side
    50,959.13x = 14,433,184,095.79
  5. Step 5: Solve for x
    x = 14,433,184,095.79/50,959.13
  6. Step 6: Final answer
    x = 283,230.61

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.