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Finding the Third Proportional to 139,252 and 202,922

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Solution

The third proportional to 139,252 and 202,922 is: 295,703.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,252 : 202,922 = 202,922 : x
  2. Step 2: Convert to fraction form
    139,252/202,922 = 202,922/x
  3. Step 3: Cross multiply
    139,252x = 202,922 × 202,922
  4. Step 4: Simplify right side
    139,252x = 41,177,338,084
  5. Step 5: Solve for x
    x = 41,177,338,084/139,252
  6. Step 6: Final answer
    x = 295,703.75

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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.