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Finding the Third Proportional to 54,204 and 77,360

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Solution

The third proportional to 54,204 and 77,360 is: 110,408.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,204 : 77,360 = 77,360 : x
  2. Step 2: Convert to fraction form
    54,204/77,360 = 77,360/x
  3. Step 3: Cross multiply
    54,204x = 77,360 × 77,360
  4. Step 4: Simplify right side
    54,204x = 5,984,569,600
  5. Step 5: Solve for x
    x = 5,984,569,600/54,204
  6. Step 6: Final answer
    x = 110,408.27

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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.