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Finding the Third Proportional to 42,267 and 59,088

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Solution

The third proportional to 42,267 and 59,088 is: 82,603.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,267 : 59,088 = 59,088 : x
  2. Step 2: Convert to fraction form
    42,267/59,088 = 59,088/x
  3. Step 3: Cross multiply
    42,267x = 59,088 × 59,088
  4. Step 4: Simplify right side
    42,267x = 3,491,391,744
  5. Step 5: Solve for x
    x = 3,491,391,744/42,267
  6. Step 6: Final answer
    x = 82,603.25

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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.