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Finding the Third Proportional to 60,796 and 133,866

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Solution

The third proportional to 60,796 and 133,866 is: 294,757.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,796 : 133,866 = 133,866 : x
  2. Step 2: Convert to fraction form
    60,796/133,866 = 133,866/x
  3. Step 3: Cross multiply
    60,796x = 133,866 × 133,866
  4. Step 4: Simplify right side
    60,796x = 17,920,105,956
  5. Step 5: Solve for x
    x = 17,920,105,956/60,796
  6. Step 6: Final answer
    x = 294,757.98

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.