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Finding the Third Proportional to 88,907.50 and 193,079

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Solution

The third proportional to 88,907.50 and 193,079 is: 419,306.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,907.50 : 193,079 = 193,079 : x
  2. Step 2: Convert to fraction form
    88,907.50/193,079 = 193,079/x
  3. Step 3: Cross multiply
    88,907.50x = 193,079 × 193,079
  4. Step 4: Simplify right side
    88,907.50x = 37,279,500,241
  5. Step 5: Solve for x
    x = 37,279,500,241/88,907.50
  6. Step 6: Final answer
    x = 419,306.59

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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.