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Finding the Third Proportional to 92,147 and 129,850

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Solution

The third proportional to 92,147 and 129,850 is: 182,979.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,147 : 129,850 = 129,850 : x
  2. Step 2: Convert to fraction form
    92,147/129,850 = 129,850/x
  3. Step 3: Cross multiply
    92,147x = 129,850 × 129,850
  4. Step 4: Simplify right side
    92,147x = 16,861,022,500
  5. Step 5: Solve for x
    x = 16,861,022,500/92,147
  6. Step 6: Final answer
    x = 182,979.61

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.