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Finding the Third Proportional to 54,022 and 112,376

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Solution

The third proportional to 54,022 and 112,376 is: 233,763.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,022 : 112,376 = 112,376 : x
  2. Step 2: Convert to fraction form
    54,022/112,376 = 112,376/x
  3. Step 3: Cross multiply
    54,022x = 112,376 × 112,376
  4. Step 4: Simplify right side
    54,022x = 12,628,365,376
  5. Step 5: Solve for x
    x = 12,628,365,376/54,022
  6. Step 6: Final answer
    x = 233,763.38

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.