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Finding the Third Proportional to 60,842 and 90,375

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Solution

The third proportional to 60,842 and 90,375 is: 134,243.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,842 : 90,375 = 90,375 : x
  2. Step 2: Convert to fraction form
    60,842/90,375 = 90,375/x
  3. Step 3: Cross multiply
    60,842x = 90,375 × 90,375
  4. Step 4: Simplify right side
    60,842x = 8,167,640,625
  5. Step 5: Solve for x
    x = 8,167,640,625/60,842
  6. Step 6: Final answer
    x = 134,243.46

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.