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Finding the Third Proportional to 62,880 and 89,400

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Solution

The third proportional to 62,880 and 89,400 is: 127,104.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,880 : 89,400 = 89,400 : x
  2. Step 2: Convert to fraction form
    62,880/89,400 = 89,400/x
  3. Step 3: Cross multiply
    62,880x = 89,400 × 89,400
  4. Step 4: Simplify right side
    62,880x = 7,992,360,000
  5. Step 5: Solve for x
    x = 7,992,360,000/62,880
  6. Step 6: Final answer
    x = 127,104.96

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.