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Finding the Third Proportional to 75,571 and 158,897

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Solution

The third proportional to 75,571 and 158,897 is: 334,099.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,571 : 158,897 = 158,897 : x
  2. Step 2: Convert to fraction form
    75,571/158,897 = 158,897/x
  3. Step 3: Cross multiply
    75,571x = 158,897 × 158,897
  4. Step 4: Simplify right side
    75,571x = 25,248,256,609
  5. Step 5: Solve for x
    x = 25,248,256,609/75,571
  6. Step 6: Final answer
    x = 334,099.81

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.