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Finding the Third Proportional to 88,203 and 136,941

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Solution

The third proportional to 88,203 and 136,941 is: 212,609.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,203 : 136,941 = 136,941 : x
  2. Step 2: Convert to fraction form
    88,203/136,941 = 136,941/x
  3. Step 3: Cross multiply
    88,203x = 136,941 × 136,941
  4. Step 4: Simplify right side
    88,203x = 18,752,837,481
  5. Step 5: Solve for x
    x = 18,752,837,481/88,203
  6. Step 6: Final answer
    x = 212,609.97

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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.