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Finding the Third Proportional to 54,368 and 126,112

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Solution

The third proportional to 54,368 and 126,112 is: 292,529.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,368 : 126,112 = 126,112 : x
  2. Step 2: Convert to fraction form
    54,368/126,112 = 126,112/x
  3. Step 3: Cross multiply
    54,368x = 126,112 × 126,112
  4. Step 4: Simplify right side
    54,368x = 15,904,236,544
  5. Step 5: Solve for x
    x = 15,904,236,544/54,368
  6. Step 6: Final answer
    x = 292,529.37

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.