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Finding the Third Proportional to 54,520 and 111,248

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Solution

The third proportional to 54,520 and 111,248 is: 227,001.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,520 : 111,248 = 111,248 : x
  2. Step 2: Convert to fraction form
    54,520/111,248 = 111,248/x
  3. Step 3: Cross multiply
    54,520x = 111,248 × 111,248
  4. Step 4: Simplify right side
    54,520x = 12,376,117,504
  5. Step 5: Solve for x
    x = 12,376,117,504/54,520
  6. Step 6: Final answer
    x = 227,001.42

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.