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Finding the Third Proportional to 54,956 and 120,466

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Solution

The third proportional to 54,956 and 120,466 is: 264,066.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,956 : 120,466 = 120,466 : x
  2. Step 2: Convert to fraction form
    54,956/120,466 = 120,466/x
  3. Step 3: Cross multiply
    54,956x = 120,466 × 120,466
  4. Step 4: Simplify right side
    54,956x = 14,512,057,156
  5. Step 5: Solve for x
    x = 14,512,057,156/54,956
  6. Step 6: Final answer
    x = 264,066.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.