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Finding the Third Proportional to 43,086 and 92,412

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Solution

The third proportional to 43,086 and 92,412 is: 198,207.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,086 : 92,412 = 92,412 : x
  2. Step 2: Convert to fraction form
    43,086/92,412 = 92,412/x
  3. Step 3: Cross multiply
    43,086x = 92,412 × 92,412
  4. Step 4: Simplify right side
    43,086x = 8,539,977,744
  5. Step 5: Solve for x
    x = 8,539,977,744/43,086
  6. Step 6: Final answer
    x = 198,207.72

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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.