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Finding the Third Proportional to 65,081 and 88,405

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Solution

The third proportional to 65,081 and 88,405 is: 120,087.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,081 : 88,405 = 88,405 : x
  2. Step 2: Convert to fraction form
    65,081/88,405 = 88,405/x
  3. Step 3: Cross multiply
    65,081x = 88,405 × 88,405
  4. Step 4: Simplify right side
    65,081x = 7,815,444,025
  5. Step 5: Solve for x
    x = 7,815,444,025/65,081
  6. Step 6: Final answer
    x = 120,087.95

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.