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Finding the Third Proportional to 52,286 and 124,232

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Solution

The third proportional to 52,286 and 124,232 is: 295,176.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,286 : 124,232 = 124,232 : x
  2. Step 2: Convert to fraction form
    52,286/124,232 = 124,232/x
  3. Step 3: Cross multiply
    52,286x = 124,232 × 124,232
  4. Step 4: Simplify right side
    52,286x = 15,433,589,824
  5. Step 5: Solve for x
    x = 15,433,589,824/52,286
  6. Step 6: Final answer
    x = 295,176.33

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.