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Finding the Third Proportional to 36,252 and 74,456

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Solution

The third proportional to 36,252 and 74,456 is: 152,921.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,252 : 74,456 = 74,456 : x
  2. Step 2: Convert to fraction form
    36,252/74,456 = 74,456/x
  3. Step 3: Cross multiply
    36,252x = 74,456 × 74,456
  4. Step 4: Simplify right side
    36,252x = 5,543,695,936
  5. Step 5: Solve for x
    x = 5,543,695,936/36,252
  6. Step 6: Final answer
    x = 152,921.11

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.