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Finding the Third Proportional to 85,944 and 189,324

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Solution

The third proportional to 85,944 and 189,324 is: 417,057.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,944 : 189,324 = 189,324 : x
  2. Step 2: Convert to fraction form
    85,944/189,324 = 189,324/x
  3. Step 3: Cross multiply
    85,944x = 189,324 × 189,324
  4. Step 4: Simplify right side
    85,944x = 35,843,576,976
  5. Step 5: Solve for x
    x = 35,843,576,976/85,944
  6. Step 6: Final answer
    x = 417,057.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.