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Finding the Third Proportional to 75,818 and 166,054

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Solution

The third proportional to 75,818 and 166,054 is: 363,685.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,818 : 166,054 = 166,054 : x
  2. Step 2: Convert to fraction form
    75,818/166,054 = 166,054/x
  3. Step 3: Cross multiply
    75,818x = 166,054 × 166,054
  4. Step 4: Simplify right side
    75,818x = 27,573,930,916
  5. Step 5: Solve for x
    x = 27,573,930,916/75,818
  6. Step 6: Final answer
    x = 363,685.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.