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Finding the Third Proportional to 66,006 and 102,256

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Solution

The third proportional to 66,006 and 102,256 is: 158,414.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,006 : 102,256 = 102,256 : x
  2. Step 2: Convert to fraction form
    66,006/102,256 = 102,256/x
  3. Step 3: Cross multiply
    66,006x = 102,256 × 102,256
  4. Step 4: Simplify right side
    66,006x = 10,456,289,536
  5. Step 5: Solve for x
    x = 10,456,289,536/66,006
  6. Step 6: Final answer
    x = 158,414.23

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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.