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Finding the Third Proportional to 51,719.13 and 120,865.92

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Solution

The third proportional to 51,719.13 and 120,865.92 is: 282,459.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,719.13 : 120,865.92 = 120,865.92 : x
  2. Step 2: Convert to fraction form
    51,719.13/120,865.92 = 120,865.92/x
  3. Step 3: Cross multiply
    51,719.13x = 120,865.92 × 120,865.92
  4. Step 4: Simplify right side
    51,719.13x = 14,608,571,070.69
  5. Step 5: Solve for x
    x = 14,608,571,070.69/51,719.13
  6. Step 6: Final answer
    x = 282,459.71

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.