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Finding the Third Proportional to 59,968 and 89,632

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Solution

The third proportional to 59,968 and 89,632 is: 133,969.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,968 : 89,632 = 89,632 : x
  2. Step 2: Convert to fraction form
    59,968/89,632 = 89,632/x
  3. Step 3: Cross multiply
    59,968x = 89,632 × 89,632
  4. Step 4: Simplify right side
    59,968x = 8,033,895,424
  5. Step 5: Solve for x
    x = 8,033,895,424/59,968
  6. Step 6: Final answer
    x = 133,969.71

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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.