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Finding the Third Proportional to 75,238.50 and 163,599

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Solution

The third proportional to 75,238.50 and 163,599 is: 355,730.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,238.50 : 163,599 = 163,599 : x
  2. Step 2: Convert to fraction form
    75,238.50/163,599 = 163,599/x
  3. Step 3: Cross multiply
    75,238.50x = 163,599 × 163,599
  4. Step 4: Simplify right side
    75,238.50x = 26,764,632,801
  5. Step 5: Solve for x
    x = 26,764,632,801/75,238.50
  6. Step 6: Final answer
    x = 355,730.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.