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Finding the Third Proportional to 112,723.50 and 168,729

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Solution

The third proportional to 112,723.50 and 168,729 is: 252,560.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,723.50 : 168,729 = 168,729 : x
  2. Step 2: Convert to fraction form
    112,723.50/168,729 = 168,729/x
  3. Step 3: Cross multiply
    112,723.50x = 168,729 × 168,729
  4. Step 4: Simplify right side
    112,723.50x = 28,469,475,441
  5. Step 5: Solve for x
    x = 28,469,475,441/112,723.50
  6. Step 6: Final answer
    x = 252,560.25

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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.