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Finding the Third Proportional to 49,856.13 and 79,279.70

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Solution

The third proportional to 49,856.13 and 79,279.70 is: 126,068.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,856.13 : 79,279.70 = 79,279.70 : x
  2. Step 2: Convert to fraction form
    49,856.13/79,279.70 = 79,279.70/x
  3. Step 3: Cross multiply
    49,856.13x = 79,279.70 × 79,279.70
  4. Step 4: Simplify right side
    49,856.13x = 6,285,270,708.22
  5. Step 5: Solve for x
    x = 6,285,270,708.22/49,856.13
  6. Step 6: Final answer
    x = 126,068.16

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.