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Finding the Third Proportional to 66,205.69 and 101,295.56

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Solution

The third proportional to 66,205.69 and 101,295.56 is: 154,983.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,205.69 : 101,295.56 = 101,295.56 : x
  2. Step 2: Convert to fraction form
    66,205.69/101,295.56 = 101,295.56/x
  3. Step 3: Cross multiply
    66,205.69x = 101,295.56 × 101,295.56
  4. Step 4: Simplify right side
    66,205.69x = 10,260,790,982.19
  5. Step 5: Solve for x
    x = 10,260,790,982.19/66,205.69
  6. Step 6: Final answer
    x = 154,983.53

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.