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Finding the Third Proportional to 42,086 and 92,920

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Solution

The third proportional to 42,086 and 92,920 is: 205,154.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,086 : 92,920 = 92,920 : x
  2. Step 2: Convert to fraction form
    42,086/92,920 = 92,920/x
  3. Step 3: Cross multiply
    42,086x = 92,920 × 92,920
  4. Step 4: Simplify right side
    42,086x = 8,634,126,400
  5. Step 5: Solve for x
    x = 8,634,126,400/42,086
  6. Step 6: Final answer
    x = 205,154.36

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.