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Finding the Third Proportional to 62,263 and 96,675

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Solution

The third proportional to 62,263 and 96,675 is: 150,106.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,263 : 96,675 = 96,675 : x
  2. Step 2: Convert to fraction form
    62,263/96,675 = 96,675/x
  3. Step 3: Cross multiply
    62,263x = 96,675 × 96,675
  4. Step 4: Simplify right side
    62,263x = 9,346,055,625
  5. Step 5: Solve for x
    x = 9,346,055,625/62,263
  6. Step 6: Final answer
    x = 150,106.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.