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Finding the Third Proportional to 73,125.28 and 158,734.69

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Solution

The third proportional to 73,125.28 and 158,734.69 is: 344,568.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,125.28 : 158,734.69 = 158,734.69 : x
  2. Step 2: Convert to fraction form
    73,125.28/158,734.69 = 158,734.69/x
  3. Step 3: Cross multiply
    73,125.28x = 158,734.69 × 158,734.69
  4. Step 4: Simplify right side
    73,125.28x = 25,196,701,015.72
  5. Step 5: Solve for x
    x = 25,196,701,015.72/73,125.28
  6. Step 6: Final answer
    x = 344,568.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.