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Finding the Third Proportional to 100,868.50 and 151,738

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Solution

The third proportional to 100,868.50 and 151,738 is: 228,261.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,868.50 : 151,738 = 151,738 : x
  2. Step 2: Convert to fraction form
    100,868.50/151,738 = 151,738/x
  3. Step 3: Cross multiply
    100,868.50x = 151,738 × 151,738
  4. Step 4: Simplify right side
    100,868.50x = 23,024,420,644
  5. Step 5: Solve for x
    x = 23,024,420,644/100,868.50
  6. Step 6: Final answer
    x = 228,261.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.