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Finding the Third Proportional to 54,162 and 114,237

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Solution

The third proportional to 54,162 and 114,237 is: 240,945.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,162 : 114,237 = 114,237 : x
  2. Step 2: Convert to fraction form
    54,162/114,237 = 114,237/x
  3. Step 3: Cross multiply
    54,162x = 114,237 × 114,237
  4. Step 4: Simplify right side
    54,162x = 13,050,092,169
  5. Step 5: Solve for x
    x = 13,050,092,169/54,162
  6. Step 6: Final answer
    x = 240,945.54

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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.