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Finding the Third Proportional to 104,272 and 252,040

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Solution

The third proportional to 104,272 and 252,040 is: 609,215.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,272 : 252,040 = 252,040 : x
  2. Step 2: Convert to fraction form
    104,272/252,040 = 252,040/x
  3. Step 3: Cross multiply
    104,272x = 252,040 × 252,040
  4. Step 4: Simplify right side
    104,272x = 63,524,161,600
  5. Step 5: Solve for x
    x = 63,524,161,600/104,272
  6. Step 6: Final answer
    x = 609,215.91

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.