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Finding the Third Proportional to 73,833.75 and 158,122.69

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Solution

The third proportional to 73,833.75 and 158,122.69 is: 338,636.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,833.75 : 158,122.69 = 158,122.69 : x
  2. Step 2: Convert to fraction form
    73,833.75/158,122.69 = 158,122.69/x
  3. Step 3: Cross multiply
    73,833.75x = 158,122.69 × 158,122.69
  4. Step 4: Simplify right side
    73,833.75x = 25,002,784,302.22
  5. Step 5: Solve for x
    x = 25,002,784,302.22/73,833.75
  6. Step 6: Final answer
    x = 338,636.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.