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Finding the Third Proportional to 54,774 and 78,273

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Solution

The third proportional to 54,774 and 78,273 is: 111,853.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,774 : 78,273 = 78,273 : x
  2. Step 2: Convert to fraction form
    54,774/78,273 = 78,273/x
  3. Step 3: Cross multiply
    54,774x = 78,273 × 78,273
  4. Step 4: Simplify right side
    54,774x = 6,126,662,529
  5. Step 5: Solve for x
    x = 6,126,662,529/54,774
  6. Step 6: Final answer
    x = 111,853.48

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.