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Finding the Third Proportional to 84,943.97 and 127,408.78

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Solution

The third proportional to 84,943.97 and 127,408.78 is: 191,102.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,943.97 : 127,408.78 = 127,408.78 : x
  2. Step 2: Convert to fraction form
    84,943.97/127,408.78 = 127,408.78/x
  3. Step 3: Cross multiply
    84,943.97x = 127,408.78 × 127,408.78
  4. Step 4: Simplify right side
    84,943.97x = 16,232,997,539.61
  5. Step 5: Solve for x
    x = 16,232,997,539.61/84,943.97
  6. Step 6: Final answer
    x = 191,102.41

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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.