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Finding the Third Proportional to 54,770 and 78,267

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Solution

The third proportional to 54,770 and 78,267 is: 111,844.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,770 : 78,267 = 78,267 : x
  2. Step 2: Convert to fraction form
    54,770/78,267 = 78,267/x
  3. Step 3: Cross multiply
    54,770x = 78,267 × 78,267
  4. Step 4: Simplify right side
    54,770x = 6,125,723,289
  5. Step 5: Solve for x
    x = 6,125,723,289/54,770
  6. Step 6: Final answer
    x = 111,844.50

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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.