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Finding the Third Proportional to 112,121.50 and 168,654.75

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Solution

The third proportional to 112,121.50 and 168,654.75 is: 253,692.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,121.50 : 168,654.75 = 168,654.75 : x
  2. Step 2: Convert to fraction form
    112,121.50/168,654.75 = 168,654.75/x
  3. Step 3: Cross multiply
    112,121.50x = 168,654.75 × 168,654.75
  4. Step 4: Simplify right side
    112,121.50x = 28,444,424,697.56
  5. Step 5: Solve for x
    x = 28,444,424,697.56/112,121.50
  6. Step 6: Final answer
    x = 253,692.87

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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.