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Finding the Third Proportional to 75,524 and 154,336

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Solution

The third proportional to 75,524 and 154,336 is: 315,391.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,524 : 154,336 = 154,336 : x
  2. Step 2: Convert to fraction form
    75,524/154,336 = 154,336/x
  3. Step 3: Cross multiply
    75,524x = 154,336 × 154,336
  4. Step 4: Simplify right side
    75,524x = 23,819,600,896
  5. Step 5: Solve for x
    x = 23,819,600,896/75,524
  6. Step 6: Final answer
    x = 315,391.15

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.