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Finding the Third Proportional to 114,554 and 167,295

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Solution

The third proportional to 114,554 and 167,295 is: 244,318.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,554 : 167,295 = 167,295 : x
  2. Step 2: Convert to fraction form
    114,554/167,295 = 167,295/x
  3. Step 3: Cross multiply
    114,554x = 167,295 × 167,295
  4. Step 4: Simplify right side
    114,554x = 27,987,617,025
  5. Step 5: Solve for x
    x = 27,987,617,025/114,554
  6. Step 6: Final answer
    x = 244,318.11

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.