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Finding the Third Proportional to 43,154.25 and 92,305.13

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Solution

The third proportional to 43,154.25 and 92,305.13 is: 197,436.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,154.25 : 92,305.13 = 92,305.13 : x
  2. Step 2: Convert to fraction form
    43,154.25/92,305.13 = 92,305.13/x
  3. Step 3: Cross multiply
    43,154.25x = 92,305.13 × 92,305.13
  4. Step 4: Simplify right side
    43,154.25x = 8,520,236,101.27
  5. Step 5: Solve for x
    x = 8,520,236,101.27/43,154.25
  6. Step 6: Final answer
    x = 197,436.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.