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Finding the Third Proportional to 54,369 and 110,271

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Solution

The third proportional to 54,369 and 110,271 is: 223,651.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,369 : 110,271 = 110,271 : x
  2. Step 2: Convert to fraction form
    54,369/110,271 = 110,271/x
  3. Step 3: Cross multiply
    54,369x = 110,271 × 110,271
  4. Step 4: Simplify right side
    54,369x = 12,159,693,441
  5. Step 5: Solve for x
    x = 12,159,693,441/54,369
  6. Step 6: Final answer
    x = 223,651.22

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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.