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Finding the Third Proportional to 54,361 and 110,251

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Solution

The third proportional to 54,361 and 110,251 is: 223,603.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,361 : 110,251 = 110,251 : x
  2. Step 2: Convert to fraction form
    54,361/110,251 = 110,251/x
  3. Step 3: Cross multiply
    54,361x = 110,251 × 110,251
  4. Step 4: Simplify right side
    54,361x = 12,155,283,001
  5. Step 5: Solve for x
    x = 12,155,283,001/54,361
  6. Step 6: Final answer
    x = 223,603.01

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.