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Finding the Third Proportional to 66,186 and 102,367

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Solution

The third proportional to 66,186 and 102,367 is: 158,326.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,186 : 102,367 = 102,367 : x
  2. Step 2: Convert to fraction form
    66,186/102,367 = 102,367/x
  3. Step 3: Cross multiply
    66,186x = 102,367 × 102,367
  4. Step 4: Simplify right side
    66,186x = 10,479,002,689
  5. Step 5: Solve for x
    x = 10,479,002,689/66,186
  6. Step 6: Final answer
    x = 158,326.57

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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.