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Finding the Third Proportional to 62,794 and 89,270

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Solution

The third proportional to 62,794 and 89,270 is: 126,909.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,794 : 89,270 = 89,270 : x
  2. Step 2: Convert to fraction form
    62,794/89,270 = 89,270/x
  3. Step 3: Cross multiply
    62,794x = 89,270 × 89,270
  4. Step 4: Simplify right side
    62,794x = 7,969,132,900
  5. Step 5: Solve for x
    x = 7,969,132,900/62,794
  6. Step 6: Final answer
    x = 126,909.15

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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.