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Finding the Third Proportional to 62,796 and 89,273

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Solution

The third proportional to 62,796 and 89,273 is: 126,913.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,796 : 89,273 = 89,273 : x
  2. Step 2: Convert to fraction form
    62,796/89,273 = 89,273/x
  3. Step 3: Cross multiply
    62,796x = 89,273 × 89,273
  4. Step 4: Simplify right side
    62,796x = 7,969,668,529
  5. Step 5: Solve for x
    x = 7,969,668,529/62,796
  6. Step 6: Final answer
    x = 126,913.63

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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.