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Finding the Third Proportional to 60,733 and 133,166

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Solution

The third proportional to 60,733 and 133,166 is: 291,985.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,733 : 133,166 = 133,166 : x
  2. Step 2: Convert to fraction form
    60,733/133,166 = 133,166/x
  3. Step 3: Cross multiply
    60,733x = 133,166 × 133,166
  4. Step 4: Simplify right side
    60,733x = 17,733,183,556
  5. Step 5: Solve for x
    x = 17,733,183,556/60,733
  6. Step 6: Final answer
    x = 291,985.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.