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Finding the Third Proportional to 107,544 and 170,244

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Solution

The third proportional to 107,544 and 170,244 is: 269,499.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,544 : 170,244 = 170,244 : x
  2. Step 2: Convert to fraction form
    107,544/170,244 = 170,244/x
  3. Step 3: Cross multiply
    107,544x = 170,244 × 170,244
  4. Step 4: Simplify right side
    107,544x = 28,983,019,536
  5. Step 5: Solve for x
    x = 28,983,019,536/107,544
  6. Step 6: Final answer
    x = 269,499.18

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.