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Finding the Third Proportional to 117,072 and 252,864

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Solution

The third proportional to 117,072 and 252,864 is: 546,161.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,072 : 252,864 = 252,864 : x
  2. Step 2: Convert to fraction form
    117,072/252,864 = 252,864/x
  3. Step 3: Cross multiply
    117,072x = 252,864 × 252,864
  4. Step 4: Simplify right side
    117,072x = 63,940,202,496
  5. Step 5: Solve for x
    x = 63,940,202,496/117,072
  6. Step 6: Final answer
    x = 546,161.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.