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Finding the Third Proportional to 49,309.13 and 104,761.50

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Solution

The third proportional to 49,309.13 and 104,761.50 is: 222,574.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,309.13 : 104,761.50 = 104,761.50 : x
  2. Step 2: Convert to fraction form
    49,309.13/104,761.50 = 104,761.50/x
  3. Step 3: Cross multiply
    49,309.13x = 104,761.50 × 104,761.50
  4. Step 4: Simplify right side
    49,309.13x = 10,974,971,882.25
  5. Step 5: Solve for x
    x = 10,974,971,882.25/49,309.13
  6. Step 6: Final answer
    x = 222,574.87

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.