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Finding the Third Proportional to 72,757 and 109,405

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Solution

The third proportional to 72,757 and 109,405 is: 164,512.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,757 : 109,405 = 109,405 : x
  2. Step 2: Convert to fraction form
    72,757/109,405 = 109,405/x
  3. Step 3: Cross multiply
    72,757x = 109,405 × 109,405
  4. Step 4: Simplify right side
    72,757x = 11,969,454,025
  5. Step 5: Solve for x
    x = 11,969,454,025/72,757
  6. Step 6: Final answer
    x = 164,512.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.