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Finding the Third Proportional to 113,670 and 171,933

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Solution

The third proportional to 113,670 and 171,933 is: 260,059.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,670 : 171,933 = 171,933 : x
  2. Step 2: Convert to fraction form
    113,670/171,933 = 171,933/x
  3. Step 3: Cross multiply
    113,670x = 171,933 × 171,933
  4. Step 4: Simplify right side
    113,670x = 29,560,956,489
  5. Step 5: Solve for x
    x = 29,560,956,489/113,670
  6. Step 6: Final answer
    x = 260,059.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.