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Finding the Third Proportional to 54,226 and 114,364

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Solution

The third proportional to 54,226 and 114,364 is: 241,196.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,226 : 114,364 = 114,364 : x
  2. Step 2: Convert to fraction form
    54,226/114,364 = 114,364/x
  3. Step 3: Cross multiply
    54,226x = 114,364 × 114,364
  4. Step 4: Simplify right side
    54,226x = 13,079,124,496
  5. Step 5: Solve for x
    x = 13,079,124,496/54,226
  6. Step 6: Final answer
    x = 241,196.56

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.