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Finding the Third Proportional to 116,937 and 182,250

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Solution

The third proportional to 116,937 and 182,250 is: 284,042.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,937 : 182,250 = 182,250 : x
  2. Step 2: Convert to fraction form
    116,937/182,250 = 182,250/x
  3. Step 3: Cross multiply
    116,937x = 182,250 × 182,250
  4. Step 4: Simplify right side
    116,937x = 33,215,062,500
  5. Step 5: Solve for x
    x = 33,215,062,500/116,937
  6. Step 6: Final answer
    x = 284,042.37

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.