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Finding the Third Proportional to 67,516 and 89,608

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Solution

The third proportional to 67,516 and 89,608 is: 118,928.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,516 : 89,608 = 89,608 : x
  2. Step 2: Convert to fraction form
    67,516/89,608 = 89,608/x
  3. Step 3: Cross multiply
    67,516x = 89,608 × 89,608
  4. Step 4: Simplify right side
    67,516x = 8,029,593,664
  5. Step 5: Solve for x
    x = 8,029,593,664/67,516
  6. Step 6: Final answer
    x = 118,928.75

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.