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Finding the Third Proportional to 48,708.38 and 104,814.75

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Solution

The third proportional to 48,708.38 and 104,814.75 is: 225,549.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,708.38 : 104,814.75 = 104,814.75 : x
  2. Step 2: Convert to fraction form
    48,708.38/104,814.75 = 104,814.75/x
  3. Step 3: Cross multiply
    48,708.38x = 104,814.75 × 104,814.75
  4. Step 4: Simplify right side
    48,708.38x = 10,986,131,817.56
  5. Step 5: Solve for x
    x = 10,986,131,817.56/48,708.38
  6. Step 6: Final answer
    x = 225,549.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.