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Finding the Third Proportional to 107,286.50 and 162,310.25

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Solution

The third proportional to 107,286.50 and 162,310.25 is: 245,553.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,286.50 : 162,310.25 = 162,310.25 : x
  2. Step 2: Convert to fraction form
    107,286.50/162,310.25 = 162,310.25/x
  3. Step 3: Cross multiply
    107,286.50x = 162,310.25 × 162,310.25
  4. Step 4: Simplify right side
    107,286.50x = 26,344,617,255.06
  5. Step 5: Solve for x
    x = 26,344,617,255.06/107,286.50
  6. Step 6: Final answer
    x = 245,553.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.