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Finding the Third Proportional to 36,144 and 87,048

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Solution

The third proportional to 36,144 and 87,048 is: 209,643.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,144 : 87,048 = 87,048 : x
  2. Step 2: Convert to fraction form
    36,144/87,048 = 87,048/x
  3. Step 3: Cross multiply
    36,144x = 87,048 × 87,048
  4. Step 4: Simplify right side
    36,144x = 7,577,354,304
  5. Step 5: Solve for x
    x = 7,577,354,304/36,144
  6. Step 6: Final answer
    x = 209,643.49

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.