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Finding the Third Proportional to 104,757 and 162,174.75

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Solution

The third proportional to 104,757 and 162,174.75 is: 251,063.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,757 : 162,174.75 = 162,174.75 : x
  2. Step 2: Convert to fraction form
    104,757/162,174.75 = 162,174.75/x
  3. Step 3: Cross multiply
    104,757x = 162,174.75 × 162,174.75
  4. Step 4: Simplify right side
    104,757x = 26,300,649,537.56
  5. Step 5: Solve for x
    x = 26,300,649,537.56/104,757
  6. Step 6: Final answer
    x = 251,063.41

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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.