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Finding the Third Proportional to 109,872 and 236,544

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Solution

The third proportional to 109,872 and 236,544 is: 509,256.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,872 : 236,544 = 236,544 : x
  2. Step 2: Convert to fraction form
    109,872/236,544 = 236,544/x
  3. Step 3: Cross multiply
    109,872x = 236,544 × 236,544
  4. Step 4: Simplify right side
    109,872x = 55,953,063,936
  5. Step 5: Solve for x
    x = 55,953,063,936/109,872
  6. Step 6: Final answer
    x = 509,256.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.