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Finding the Third Proportional to 43,099 and 92,758

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Solution

The third proportional to 43,099 and 92,758 is: 199,634.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,099 : 92,758 = 92,758 : x
  2. Step 2: Convert to fraction form
    43,099/92,758 = 92,758/x
  3. Step 3: Cross multiply
    43,099x = 92,758 × 92,758
  4. Step 4: Simplify right side
    43,099x = 8,604,046,564
  5. Step 5: Solve for x
    x = 8,604,046,564/43,099
  6. Step 6: Final answer
    x = 199,634.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.