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Finding the Third Proportional to 73,728 and 99,180

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Solution

The third proportional to 73,728 and 99,180 is: 133,418.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,728 : 99,180 = 99,180 : x
  2. Step 2: Convert to fraction form
    73,728/99,180 = 99,180/x
  3. Step 3: Cross multiply
    73,728x = 99,180 × 99,180
  4. Step 4: Simplify right side
    73,728x = 9,836,672,400
  5. Step 5: Solve for x
    x = 9,836,672,400/73,728
  6. Step 6: Final answer
    x = 133,418.41

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.