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Finding the Third Proportional to 50,743.13 and 114,769.13

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Solution

The third proportional to 50,743.13 and 114,769.13 is: 259,581.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,743.13 : 114,769.13 = 114,769.13 : x
  2. Step 2: Convert to fraction form
    50,743.13/114,769.13 = 114,769.13/x
  3. Step 3: Cross multiply
    50,743.13x = 114,769.13 × 114,769.13
  4. Step 4: Simplify right side
    50,743.13x = 13,171,952,053.27
  5. Step 5: Solve for x
    x = 13,171,952,053.27/50,743.13
  6. Step 6: Final answer
    x = 259,581.02

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.