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Finding the Third Proportional to 127,769 and 191,960

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Solution

The third proportional to 127,769 and 191,960 is: 288,400.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,769 : 191,960 = 191,960 : x
  2. Step 2: Convert to fraction form
    127,769/191,960 = 191,960/x
  3. Step 3: Cross multiply
    127,769x = 191,960 × 191,960
  4. Step 4: Simplify right side
    127,769x = 36,848,641,600
  5. Step 5: Solve for x
    x = 36,848,641,600/127,769
  6. Step 6: Final answer
    x = 288,400.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.