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Finding the Third Proportional to 74,982 and 158,393

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Solution

The third proportional to 74,982 and 158,393 is: 334,591.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,982 : 158,393 = 158,393 : x
  2. Step 2: Convert to fraction form
    74,982/158,393 = 158,393/x
  3. Step 3: Cross multiply
    74,982x = 158,393 × 158,393
  4. Step 4: Simplify right side
    74,982x = 25,088,342,449
  5. Step 5: Solve for x
    x = 25,088,342,449/74,982
  6. Step 6: Final answer
    x = 334,591.53

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.