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Finding the Third Proportional to 88,102 and 134,218

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Solution

The third proportional to 88,102 and 134,218 is: 204,472.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,102 : 134,218 = 134,218 : x
  2. Step 2: Convert to fraction form
    88,102/134,218 = 134,218/x
  3. Step 3: Cross multiply
    88,102x = 134,218 × 134,218
  4. Step 4: Simplify right side
    88,102x = 18,014,471,524
  5. Step 5: Solve for x
    x = 18,014,471,524/88,102
  6. Step 6: Final answer
    x = 204,472.90

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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.