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Finding the Third Proportional to 101,769 and 155,296

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Solution

The third proportional to 101,769 and 155,296 is: 236,976.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,769 : 155,296 = 155,296 : x
  2. Step 2: Convert to fraction form
    101,769/155,296 = 155,296/x
  3. Step 3: Cross multiply
    101,769x = 155,296 × 155,296
  4. Step 4: Simplify right side
    101,769x = 24,116,847,616
  5. Step 5: Solve for x
    x = 24,116,847,616/101,769
  6. Step 6: Final answer
    x = 236,976.36

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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.