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Finding the Third Proportional to 84,408.75 and 133,660.13

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Solution

The third proportional to 84,408.75 and 133,660.13 is: 211,649.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,408.75 : 133,660.13 = 133,660.13 : x
  2. Step 2: Convert to fraction form
    84,408.75/133,660.13 = 133,660.13/x
  3. Step 3: Cross multiply
    84,408.75x = 133,660.13 × 133,660.13
  4. Step 4: Simplify right side
    84,408.75x = 17,865,029,015.02
  5. Step 5: Solve for x
    x = 17,865,029,015.02/84,408.75
  6. Step 6: Final answer
    x = 211,649.02

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.