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Finding the Third Proportional to 142,074 and 236,757

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Solution

The third proportional to 142,074 and 236,757 is: 394,540.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,074 : 236,757 = 236,757 : x
  2. Step 2: Convert to fraction form
    142,074/236,757 = 236,757/x
  3. Step 3: Cross multiply
    142,074x = 236,757 × 236,757
  4. Step 4: Simplify right side
    142,074x = 56,053,877,049
  5. Step 5: Solve for x
    x = 56,053,877,049/142,074
  6. Step 6: Final answer
    x = 394,540.01

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.