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Finding the Third Proportional to 127,769 and 185,704

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Solution

The third proportional to 127,769 and 185,704 is: 269,908.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,769 : 185,704 = 185,704 : x
  2. Step 2: Convert to fraction form
    127,769/185,704 = 185,704/x
  3. Step 3: Cross multiply
    127,769x = 185,704 × 185,704
  4. Step 4: Simplify right side
    127,769x = 34,485,975,616
  5. Step 5: Solve for x
    x = 34,485,975,616/127,769
  6. Step 6: Final answer
    x = 269,908.79

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.