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Finding the Third Proportional to 42,266 and 59,093

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Solution

The third proportional to 42,266 and 59,093 is: 82,619.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,266 : 59,093 = 59,093 : x
  2. Step 2: Convert to fraction form
    42,266/59,093 = 59,093/x
  3. Step 3: Cross multiply
    42,266x = 59,093 × 59,093
  4. Step 4: Simplify right side
    42,266x = 3,491,982,649
  5. Step 5: Solve for x
    x = 3,491,982,649/42,266
  6. Step 6: Final answer
    x = 82,619.19

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.