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Finding the Third Proportional to 101,782 and 155,697

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Solution

The third proportional to 101,782 and 155,697 is: 238,171.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,782 : 155,697 = 155,697 : x
  2. Step 2: Convert to fraction form
    101,782/155,697 = 155,697/x
  3. Step 3: Cross multiply
    101,782x = 155,697 × 155,697
  4. Step 4: Simplify right side
    101,782x = 24,241,555,809
  5. Step 5: Solve for x
    x = 24,241,555,809/101,782
  6. Step 6: Final answer
    x = 238,171.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.