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Finding the Third Proportional to 42,775 and 67,190

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Solution

The third proportional to 42,775 and 67,190 is: 105,540.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,775 : 67,190 = 67,190 : x
  2. Step 2: Convert to fraction form
    42,775/67,190 = 67,190/x
  3. Step 3: Cross multiply
    42,775x = 67,190 × 67,190
  4. Step 4: Simplify right side
    42,775x = 4,514,496,100
  5. Step 5: Solve for x
    x = 4,514,496,100/42,775
  6. Step 6: Final answer
    x = 105,540.53

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.