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Finding the Third Proportional to 139,244 and 202,910

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Solution

The third proportional to 139,244 and 202,910 is: 295,685.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,244 : 202,910 = 202,910 : x
  2. Step 2: Convert to fraction form
    139,244/202,910 = 202,910/x
  3. Step 3: Cross multiply
    139,244x = 202,910 × 202,910
  4. Step 4: Simplify right side
    139,244x = 41,172,468,100
  5. Step 5: Solve for x
    x = 41,172,468,100/139,244
  6. Step 6: Final answer
    x = 295,685.76

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.