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Finding the Third Proportional to 88,049 and 136,394

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Solution

The third proportional to 88,049 and 136,394 is: 211,283.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,049 : 136,394 = 136,394 : x
  2. Step 2: Convert to fraction form
    88,049/136,394 = 136,394/x
  3. Step 3: Cross multiply
    88,049x = 136,394 × 136,394
  4. Step 4: Simplify right side
    88,049x = 18,603,323,236
  5. Step 5: Solve for x
    x = 18,603,323,236/88,049
  6. Step 6: Final answer
    x = 211,283.75

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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.