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Finding the Third Proportional to 127,866 and 189,320

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Solution

The third proportional to 127,866 and 189,320 is: 280,309.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,866 : 189,320 = 189,320 : x
  2. Step 2: Convert to fraction form
    127,866/189,320 = 189,320/x
  3. Step 3: Cross multiply
    127,866x = 189,320 × 189,320
  4. Step 4: Simplify right side
    127,866x = 35,842,062,400
  5. Step 5: Solve for x
    x = 35,842,062,400/127,866
  6. Step 6: Final answer
    x = 280,309.56

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.