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Finding the Third Proportional to 54,278 and 114,388

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Solution

The third proportional to 54,278 and 114,388 is: 241,066.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,278 : 114,388 = 114,388 : x
  2. Step 2: Convert to fraction form
    54,278/114,388 = 114,388/x
  3. Step 3: Cross multiply
    54,278x = 114,388 × 114,388
  4. Step 4: Simplify right side
    54,278x = 13,084,614,544
  5. Step 5: Solve for x
    x = 13,084,614,544/54,278
  6. Step 6: Final answer
    x = 241,066.63

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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.