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Finding the Third Proportional to 42,086 and 92,475

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Solution

The third proportional to 42,086 and 92,475 is: 203,194.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,086 : 92,475 = 92,475 : x
  2. Step 2: Convert to fraction form
    42,086/92,475 = 92,475/x
  3. Step 3: Cross multiply
    42,086x = 92,475 × 92,475
  4. Step 4: Simplify right side
    42,086x = 8,551,625,625
  5. Step 5: Solve for x
    x = 8,551,625,625/42,086
  6. Step 6: Final answer
    x = 203,194.07

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.