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Finding the Third Proportional to 52,548.75 and 108,834.75

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Solution

The third proportional to 52,548.75 and 108,834.75 is: 225,409.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,548.75 : 108,834.75 = 108,834.75 : x
  2. Step 2: Convert to fraction form
    52,548.75/108,834.75 = 108,834.75/x
  3. Step 3: Cross multiply
    52,548.75x = 108,834.75 × 108,834.75
  4. Step 4: Simplify right side
    52,548.75x = 11,845,002,807.56
  5. Step 5: Solve for x
    x = 11,845,002,807.56/52,548.75
  6. Step 6: Final answer
    x = 225,409.79

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.