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Finding the Third Proportional to 60,971 and 91,619

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Solution

The third proportional to 60,971 and 91,619 is: 137,672.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,971 : 91,619 = 91,619 : x
  2. Step 2: Convert to fraction form
    60,971/91,619 = 91,619/x
  3. Step 3: Cross multiply
    60,971x = 91,619 × 91,619
  4. Step 4: Simplify right side
    60,971x = 8,394,041,161
  5. Step 5: Solve for x
    x = 8,394,041,161/60,971
  6. Step 6: Final answer
    x = 137,672.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.