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Finding the Third Proportional to 34,240 and 75,192

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Solution

The third proportional to 34,240 and 75,192 is: 165,123.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,240 : 75,192 = 75,192 : x
  2. Step 2: Convert to fraction form
    34,240/75,192 = 75,192/x
  3. Step 3: Cross multiply
    34,240x = 75,192 × 75,192
  4. Step 4: Simplify right side
    34,240x = 5,653,836,864
  5. Step 5: Solve for x
    x = 5,653,836,864/34,240
  6. Step 6: Final answer
    x = 165,123.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.