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Finding the Third Proportional to 54,243 and 78,876

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Solution

The third proportional to 54,243 and 78,876 is: 114,695.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,243 : 78,876 = 78,876 : x
  2. Step 2: Convert to fraction form
    54,243/78,876 = 78,876/x
  3. Step 3: Cross multiply
    54,243x = 78,876 × 78,876
  4. Step 4: Simplify right side
    54,243x = 6,221,423,376
  5. Step 5: Solve for x
    x = 6,221,423,376/54,243
  6. Step 6: Final answer
    x = 114,695.41

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.