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Finding the Third Proportional to 54,766 and 118,271

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Solution

The third proportional to 54,766 and 118,271 is: 255,414.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,766 : 118,271 = 118,271 : x
  2. Step 2: Convert to fraction form
    54,766/118,271 = 118,271/x
  3. Step 3: Cross multiply
    54,766x = 118,271 × 118,271
  4. Step 4: Simplify right side
    54,766x = 13,988,029,441
  5. Step 5: Solve for x
    x = 13,988,029,441/54,766
  6. Step 6: Final answer
    x = 255,414.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.