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Finding the Third Proportional to 112,286.25 and 168,415.88

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Solution

The third proportional to 112,286.25 and 168,415.88 is: 252,603.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,286.25 : 168,415.88 = 168,415.88 : x
  2. Step 2: Convert to fraction form
    112,286.25/168,415.88 = 168,415.88/x
  3. Step 3: Cross multiply
    112,286.25x = 168,415.88 × 168,415.88
  4. Step 4: Simplify right side
    112,286.25x = 28,363,906,952.02
  5. Step 5: Solve for x
    x = 28,363,906,952.02/112,286.25
  6. Step 6: Final answer
    x = 252,603.56

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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.