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Finding the Third Proportional to 66,204 and 102,576

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Solution

The third proportional to 66,204 and 102,576 is: 158,930.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,204 : 102,576 = 102,576 : x
  2. Step 2: Convert to fraction form
    66,204/102,576 = 102,576/x
  3. Step 3: Cross multiply
    66,204x = 102,576 × 102,576
  4. Step 4: Simplify right side
    66,204x = 10,521,835,776
  5. Step 5: Solve for x
    x = 10,521,835,776/66,204
  6. Step 6: Final answer
    x = 158,930.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.