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Finding the Third Proportional to 109,872 and 237,264

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Solution

The third proportional to 109,872 and 237,264 is: 512,361.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,872 : 237,264 = 237,264 : x
  2. Step 2: Convert to fraction form
    109,872/237,264 = 237,264/x
  3. Step 3: Cross multiply
    109,872x = 237,264 × 237,264
  4. Step 4: Simplify right side
    109,872x = 56,294,205,696
  5. Step 5: Solve for x
    x = 56,294,205,696/109,872
  6. Step 6: Final answer
    x = 512,361.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.