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Finding the Third Proportional to 110,908 and 172,050

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Solution

The third proportional to 110,908 and 172,050 is: 266,898.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,908 : 172,050 = 172,050 : x
  2. Step 2: Convert to fraction form
    110,908/172,050 = 172,050/x
  3. Step 3: Cross multiply
    110,908x = 172,050 × 172,050
  4. Step 4: Simplify right side
    110,908x = 29,601,202,500
  5. Step 5: Solve for x
    x = 29,601,202,500/110,908
  6. Step 6: Final answer
    x = 266,898.71

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.