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Finding the Third Proportional to 109,544 and 166,364

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Solution

The third proportional to 109,544 and 166,364 is: 252,656.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,544 : 166,364 = 166,364 : x
  2. Step 2: Convert to fraction form
    109,544/166,364 = 166,364/x
  3. Step 3: Cross multiply
    109,544x = 166,364 × 166,364
  4. Step 4: Simplify right side
    109,544x = 27,676,980,496
  5. Step 5: Solve for x
    x = 27,676,980,496/109,544
  6. Step 6: Final answer
    x = 252,656.29

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.