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Finding the Third Proportional to 114,112 and 167,937

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Solution

The third proportional to 114,112 and 167,937 is: 247,150.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,112 : 167,937 = 167,937 : x
  2. Step 2: Convert to fraction form
    114,112/167,937 = 167,937/x
  3. Step 3: Cross multiply
    114,112x = 167,937 × 167,937
  4. Step 4: Simplify right side
    114,112x = 28,202,835,969
  5. Step 5: Solve for x
    x = 28,202,835,969/114,112
  6. Step 6: Final answer
    x = 247,150.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.