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Finding the Third Proportional to 75,285 and 163,691.50

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Solution

The third proportional to 75,285 and 163,691.50 is: 355,912.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,285 : 163,691.50 = 163,691.50 : x
  2. Step 2: Convert to fraction form
    75,285/163,691.50 = 163,691.50/x
  3. Step 3: Cross multiply
    75,285x = 163,691.50 × 163,691.50
  4. Step 4: Simplify right side
    75,285x = 26,794,907,172.25
  5. Step 5: Solve for x
    x = 26,794,907,172.25/75,285
  6. Step 6: Final answer
    x = 355,912.96

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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.