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Finding the Third Proportional to 94,746 and 126,405

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Solution

The third proportional to 94,746 and 126,405 is: 168,642.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,746 : 126,405 = 126,405 : x
  2. Step 2: Convert to fraction form
    94,746/126,405 = 126,405/x
  3. Step 3: Cross multiply
    94,746x = 126,405 × 126,405
  4. Step 4: Simplify right side
    94,746x = 15,978,224,025
  5. Step 5: Solve for x
    x = 15,978,224,025/94,746
  6. Step 6: Final answer
    x = 168,642.73

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.