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Finding the Third Proportional to 88,092 and 136,458

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Solution

The third proportional to 88,092 and 136,458 is: 211,378.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,092 : 136,458 = 136,458 : x
  2. Step 2: Convert to fraction form
    88,092/136,458 = 136,458/x
  3. Step 3: Cross multiply
    88,092x = 136,458 × 136,458
  4. Step 4: Simplify right side
    88,092x = 18,620,785,764
  5. Step 5: Solve for x
    x = 18,620,785,764/88,092
  6. Step 6: Final answer
    x = 211,378.85

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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.