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Finding the Third Proportional to 69,207.75 and 149,532.75

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Solution

The third proportional to 69,207.75 and 149,532.75 is: 323,085.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,207.75 : 149,532.75 = 149,532.75 : x
  2. Step 2: Convert to fraction form
    69,207.75/149,532.75 = 149,532.75/x
  3. Step 3: Cross multiply
    69,207.75x = 149,532.75 × 149,532.75
  4. Step 4: Simplify right side
    69,207.75x = 22,360,043,322.56
  5. Step 5: Solve for x
    x = 22,360,043,322.56/69,207.75
  6. Step 6: Final answer
    x = 323,085.83

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.