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Finding the Third Proportional to 116,252 and 251,096

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Solution

The third proportional to 116,252 and 251,096 is: 542,349.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,252 : 251,096 = 251,096 : x
  2. Step 2: Convert to fraction form
    116,252/251,096 = 251,096/x
  3. Step 3: Cross multiply
    116,252x = 251,096 × 251,096
  4. Step 4: Simplify right side
    116,252x = 63,049,201,216
  5. Step 5: Solve for x
    x = 63,049,201,216/116,252
  6. Step 6: Final answer
    x = 542,349.39

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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.