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Finding the Third Proportional to 60,824 and 89,571

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Solution

The third proportional to 60,824 and 89,571 is: 131,904.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,824 : 89,571 = 89,571 : x
  2. Step 2: Convert to fraction form
    60,824/89,571 = 89,571/x
  3. Step 3: Cross multiply
    60,824x = 89,571 × 89,571
  4. Step 4: Simplify right side
    60,824x = 8,022,964,041
  5. Step 5: Solve for x
    x = 8,022,964,041/60,824
  6. Step 6: Final answer
    x = 131,904.58

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.