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Finding the Third Proportional to 57,727.50 and 126,094.13

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Solution

The third proportional to 57,727.50 and 126,094.13 is: 275,427.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,727.50 : 126,094.13 = 126,094.13 : x
  2. Step 2: Convert to fraction form
    57,727.50/126,094.13 = 126,094.13/x
  3. Step 3: Cross multiply
    57,727.50x = 126,094.13 × 126,094.13
  4. Step 4: Simplify right side
    57,727.50x = 15,899,728,359.52
  5. Step 5: Solve for x
    x = 15,899,728,359.52/57,727.50
  6. Step 6: Final answer
    x = 275,427.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.