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Finding the Third Proportional to 127,704.09 and 191,556.14

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Solution

The third proportional to 127,704.09 and 191,556.14 is: 287,334.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,704.09 : 191,556.14 = 191,556.14 : x
  2. Step 2: Convert to fraction form
    127,704.09/191,556.14 = 191,556.14/x
  3. Step 3: Cross multiply
    127,704.09x = 191,556.14 × 191,556.14
  4. Step 4: Simplify right side
    127,704.09x = 36,693,755,011.14
  5. Step 5: Solve for x
    x = 36,693,755,011.14/127,704.09
  6. Step 6: Final answer
    x = 287,334.21

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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.