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Finding the Third Proportional to 74,279 and 158,926

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Solution

The third proportional to 74,279 and 158,926 is: 340,035.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,279 : 158,926 = 158,926 : x
  2. Step 2: Convert to fraction form
    74,279/158,926 = 158,926/x
  3. Step 3: Cross multiply
    74,279x = 158,926 × 158,926
  4. Step 4: Simplify right side
    74,279x = 25,257,473,476
  5. Step 5: Solve for x
    x = 25,257,473,476/74,279
  6. Step 6: Final answer
    x = 340,035.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.