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Finding the Third Proportional to 127,848 and 191,691

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Solution

The third proportional to 127,848 and 191,691 is: 287,415.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,848 : 191,691 = 191,691 : x
  2. Step 2: Convert to fraction form
    127,848/191,691 = 191,691/x
  3. Step 3: Cross multiply
    127,848x = 191,691 × 191,691
  4. Step 4: Simplify right side
    127,848x = 36,745,439,481
  5. Step 5: Solve for x
    x = 36,745,439,481/127,848
  6. Step 6: Final answer
    x = 287,415.05

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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.