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Finding the Third Proportional to 88,146 and 134,286

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Solution

The third proportional to 88,146 and 134,286 is: 204,577.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,146 : 134,286 = 134,286 : x
  2. Step 2: Convert to fraction form
    88,146/134,286 = 134,286/x
  3. Step 3: Cross multiply
    88,146x = 134,286 × 134,286
  4. Step 4: Simplify right side
    88,146x = 18,032,729,796
  5. Step 5: Solve for x
    x = 18,032,729,796/88,146
  6. Step 6: Final answer
    x = 204,577.97

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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.