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Finding the Third Proportional to 133,921.13 and 202,609.69

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Solution

The third proportional to 133,921.13 and 202,609.69 is: 306,528.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,921.13 : 202,609.69 = 202,609.69 : x
  2. Step 2: Convert to fraction form
    133,921.13/202,609.69 = 202,609.69/x
  3. Step 3: Cross multiply
    133,921.13x = 202,609.69 × 202,609.69
  4. Step 4: Simplify right side
    133,921.13x = 41,050,685,468.85
  5. Step 5: Solve for x
    x = 41,050,685,468.85/133,921.13
  6. Step 6: Final answer
    x = 306,528.83

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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.