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Finding the Third Proportional to 54,147 and 116,295

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Solution

The third proportional to 54,147 and 116,295 is: 249,774.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,147 : 116,295 = 116,295 : x
  2. Step 2: Convert to fraction form
    54,147/116,295 = 116,295/x
  3. Step 3: Cross multiply
    54,147x = 116,295 × 116,295
  4. Step 4: Simplify right side
    54,147x = 13,524,527,025
  5. Step 5: Solve for x
    x = 13,524,527,025/54,147
  6. Step 6: Final answer
    x = 249,774.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.