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Finding the Third Proportional to 43,597 and 92,426

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Solution

The third proportional to 43,597 and 92,426 is: 195,943.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,597 : 92,426 = 92,426 : x
  2. Step 2: Convert to fraction form
    43,597/92,426 = 92,426/x
  3. Step 3: Cross multiply
    43,597x = 92,426 × 92,426
  4. Step 4: Simplify right side
    43,597x = 8,542,565,476
  5. Step 5: Solve for x
    x = 8,542,565,476/43,597
  6. Step 6: Final answer
    x = 195,943.88

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.