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Finding the Third Proportional to 51,237 and 108,324

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Solution

The third proportional to 51,237 and 108,324 is: 229,015.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,237 : 108,324 = 108,324 : x
  2. Step 2: Convert to fraction form
    51,237/108,324 = 108,324/x
  3. Step 3: Cross multiply
    51,237x = 108,324 × 108,324
  4. Step 4: Simplify right side
    51,237x = 11,734,088,976
  5. Step 5: Solve for x
    x = 11,734,088,976/51,237
  6. Step 6: Final answer
    x = 229,015.93

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.