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Finding the Third Proportional to 127,364 and 191,366

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Solution

The third proportional to 127,364 and 191,366 is: 287,529.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,364 : 191,366 = 191,366 : x
  2. Step 2: Convert to fraction form
    127,364/191,366 = 191,366/x
  3. Step 3: Cross multiply
    127,364x = 191,366 × 191,366
  4. Step 4: Simplify right side
    127,364x = 36,620,945,956
  5. Step 5: Solve for x
    x = 36,620,945,956/127,364
  6. Step 6: Final answer
    x = 287,529.80

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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.