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Finding the Third Proportional to 65,522.11 and 89,661.66

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Solution

The third proportional to 65,522.11 and 89,661.66 is: 122,694.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,522.11 : 89,661.66 = 89,661.66 : x
  2. Step 2: Convert to fraction form
    65,522.11/89,661.66 = 89,661.66/x
  3. Step 3: Cross multiply
    65,522.11x = 89,661.66 × 89,661.66
  4. Step 4: Simplify right side
    65,522.11x = 8,039,212,601.49
  5. Step 5: Solve for x
    x = 8,039,212,601.49/65,522.11
  6. Step 6: Final answer
    x = 122,694.65

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.