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Finding the Third Proportional to 69,568.50 and 151,557

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Solution

The third proportional to 69,568.50 and 151,557 is: 330,171.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,568.50 : 151,557 = 151,557 : x
  2. Step 2: Convert to fraction form
    69,568.50/151,557 = 151,557/x
  3. Step 3: Cross multiply
    69,568.50x = 151,557 × 151,557
  4. Step 4: Simplify right side
    69,568.50x = 22,969,524,249
  5. Step 5: Solve for x
    x = 22,969,524,249/69,568.50
  6. Step 6: Final answer
    x = 330,171.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.