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Finding the Third Proportional to 92,518 and 102,238

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Solution

The third proportional to 92,518 and 102,238 is: 112,979.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,518 : 102,238 = 102,238 : x
  2. Step 2: Convert to fraction form
    92,518/102,238 = 102,238/x
  3. Step 3: Cross multiply
    92,518x = 102,238 × 102,238
  4. Step 4: Simplify right side
    92,518x = 10,452,608,644
  5. Step 5: Solve for x
    x = 10,452,608,644/92,518
  6. Step 6: Final answer
    x = 112,979.19

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.