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Finding the Third Proportional to 43,306 and 92,079

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Solution

The third proportional to 43,306 and 92,079 is: 195,782.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,306 : 92,079 = 92,079 : x
  2. Step 2: Convert to fraction form
    43,306/92,079 = 92,079/x
  3. Step 3: Cross multiply
    43,306x = 92,079 × 92,079
  4. Step 4: Simplify right side
    43,306x = 8,478,542,241
  5. Step 5: Solve for x
    x = 8,478,542,241/43,306
  6. Step 6: Final answer
    x = 195,782.16

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.