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Finding the Third Proportional to 54,115 and 73,719

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Solution

The third proportional to 54,115 and 73,719 is: 100,424.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,115 : 73,719 = 73,719 : x
  2. Step 2: Convert to fraction form
    54,115/73,719 = 73,719/x
  3. Step 3: Cross multiply
    54,115x = 73,719 × 73,719
  4. Step 4: Simplify right side
    54,115x = 5,434,490,961
  5. Step 5: Solve for x
    x = 5,434,490,961/54,115
  6. Step 6: Final answer
    x = 100,424.85

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.