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Finding the Third Proportional to 55,302.75 and 83,227.75

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Solution

The third proportional to 55,302.75 and 83,227.75 is: 125,253.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,302.75 : 83,227.75 = 83,227.75 : x
  2. Step 2: Convert to fraction form
    55,302.75/83,227.75 = 83,227.75/x
  3. Step 3: Cross multiply
    55,302.75x = 83,227.75 × 83,227.75
  4. Step 4: Simplify right side
    55,302.75x = 6,926,858,370.06
  5. Step 5: Solve for x
    x = 6,926,858,370.06/55,302.75
  6. Step 6: Final answer
    x = 125,253.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.