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Finding the Third Proportional to 69,576.75 and 100,506.38

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Solution

The third proportional to 69,576.75 and 100,506.38 is: 145,185.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,576.75 : 100,506.38 = 100,506.38 : x
  2. Step 2: Convert to fraction form
    69,576.75/100,506.38 = 100,506.38/x
  3. Step 3: Cross multiply
    69,576.75x = 100,506.38 × 100,506.38
  4. Step 4: Simplify right side
    69,576.75x = 10,101,531,415.64
  5. Step 5: Solve for x
    x = 10,101,531,415.64/69,576.75
  6. Step 6: Final answer
    x = 145,185.45

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.