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Finding the Third Proportional to 66,186 and 155,079

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Solution

The third proportional to 66,186 and 155,079 is: 363,362.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,186 : 155,079 = 155,079 : x
  2. Step 2: Convert to fraction form
    66,186/155,079 = 155,079/x
  3. Step 3: Cross multiply
    66,186x = 155,079 × 155,079
  4. Step 4: Simplify right side
    66,186x = 24,049,496,241
  5. Step 5: Solve for x
    x = 24,049,496,241/66,186
  6. Step 6: Final answer
    x = 363,362.29

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.