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Finding the Third Proportional to 116,264 and 251,112

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Solution

The third proportional to 116,264 and 251,112 is: 542,362.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,264 : 251,112 = 251,112 : x
  2. Step 2: Convert to fraction form
    116,264/251,112 = 251,112/x
  3. Step 3: Cross multiply
    116,264x = 251,112 × 251,112
  4. Step 4: Simplify right side
    116,264x = 63,057,236,544
  5. Step 5: Solve for x
    x = 63,057,236,544/116,264
  6. Step 6: Final answer
    x = 542,362.52

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