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Finding the Third Proportional to 60,786.50 and 126,405

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Solution

The third proportional to 60,786.50 and 126,405 is: 262,858.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,786.50 : 126,405 = 126,405 : x
  2. Step 2: Convert to fraction form
    60,786.50/126,405 = 126,405/x
  3. Step 3: Cross multiply
    60,786.50x = 126,405 × 126,405
  4. Step 4: Simplify right side
    60,786.50x = 15,978,224,025
  5. Step 5: Solve for x
    x = 15,978,224,025/60,786.50
  6. Step 6: Final answer
    x = 262,858.10

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.