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Finding the Third Proportional to 127,836 and 191,673

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Solution

The third proportional to 127,836 and 191,673 is: 287,388.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,836 : 191,673 = 191,673 : x
  2. Step 2: Convert to fraction form
    127,836/191,673 = 191,673/x
  3. Step 3: Cross multiply
    127,836x = 191,673 × 191,673
  4. Step 4: Simplify right side
    127,836x = 36,738,538,929
  5. Step 5: Solve for x
    x = 36,738,538,929/127,836
  6. Step 6: Final answer
    x = 287,388.05

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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.