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Finding the Third Proportional to 107,204 and 163,302

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Solution

The third proportional to 107,204 and 163,302 is: 248,755.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,204 : 163,302 = 163,302 : x
  2. Step 2: Convert to fraction form
    107,204/163,302 = 163,302/x
  3. Step 3: Cross multiply
    107,204x = 163,302 × 163,302
  4. Step 4: Simplify right side
    107,204x = 26,667,543,204
  5. Step 5: Solve for x
    x = 26,667,543,204/107,204
  6. Step 6: Final answer
    x = 248,755.11

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.