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Finding the Third Proportional to 74,733 and 158,376

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Solution

The third proportional to 74,733 and 158,376 is: 335,634.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,733 : 158,376 = 158,376 : x
  2. Step 2: Convert to fraction form
    74,733/158,376 = 158,376/x
  3. Step 3: Cross multiply
    74,733x = 158,376 × 158,376
  4. Step 4: Simplify right side
    74,733x = 25,082,957,376
  5. Step 5: Solve for x
    x = 25,082,957,376/74,733
  6. Step 6: Final answer
    x = 335,634.29

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.