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Finding the Third Proportional to 54,700 and 118,876

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Solution

The third proportional to 54,700 and 118,876 is: 258,345.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,700 : 118,876 = 118,876 : x
  2. Step 2: Convert to fraction form
    54,700/118,876 = 118,876/x
  3. Step 3: Cross multiply
    54,700x = 118,876 × 118,876
  4. Step 4: Simplify right side
    54,700x = 14,131,503,376
  5. Step 5: Solve for x
    x = 14,131,503,376/54,700
  6. Step 6: Final answer
    x = 258,345.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.