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Finding the Third Proportional to 108,920 and 235,936

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Solution

The third proportional to 108,920 and 235,936 is: 511,070.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,920 : 235,936 = 235,936 : x
  2. Step 2: Convert to fraction form
    108,920/235,936 = 235,936/x
  3. Step 3: Cross multiply
    108,920x = 235,936 × 235,936
  4. Step 4: Simplify right side
    108,920x = 55,665,796,096
  5. Step 5: Solve for x
    x = 55,665,796,096/108,920
  6. Step 6: Final answer
    x = 511,070.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.