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Finding the Third Proportional to 127,923 and 191,898

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Solution

The third proportional to 127,923 and 191,898 is: 287,867.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,923 : 191,898 = 191,898 : x
  2. Step 2: Convert to fraction form
    127,923/191,898 = 191,898/x
  3. Step 3: Cross multiply
    127,923x = 191,898 × 191,898
  4. Step 4: Simplify right side
    127,923x = 36,824,842,404
  5. Step 5: Solve for x
    x = 36,824,842,404/127,923
  6. Step 6: Final answer
    x = 287,867.25

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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.