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Finding the Third Proportional to 42,722 and 59,915

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Solution

The third proportional to 42,722 and 59,915 is: 84,027.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,722 : 59,915 = 59,915 : x
  2. Step 2: Convert to fraction form
    42,722/59,915 = 59,915/x
  3. Step 3: Cross multiply
    42,722x = 59,915 × 59,915
  4. Step 4: Simplify right side
    42,722x = 3,589,807,225
  5. Step 5: Solve for x
    x = 3,589,807,225/42,722
  6. Step 6: Final answer
    x = 84,027.13

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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.