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Finding the Third Proportional to 29,186 and 60,884

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Solution

The third proportional to 29,186 and 60,884 is: 127,008.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,186 : 60,884 = 60,884 : x
  2. Step 2: Convert to fraction form
    29,186/60,884 = 60,884/x
  3. Step 3: Cross multiply
    29,186x = 60,884 × 60,884
  4. Step 4: Simplify right side
    29,186x = 3,706,861,456
  5. Step 5: Solve for x
    x = 3,706,861,456/29,186
  6. Step 6: Final answer
    x = 127,008.20

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.