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Finding the Third Proportional to 103,926 and 156,632

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Solution

The third proportional to 103,926 and 156,632 is: 236,067.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,926 : 156,632 = 156,632 : x
  2. Step 2: Convert to fraction form
    103,926/156,632 = 156,632/x
  3. Step 3: Cross multiply
    103,926x = 156,632 × 156,632
  4. Step 4: Simplify right side
    103,926x = 24,533,583,424
  5. Step 5: Solve for x
    x = 24,533,583,424/103,926
  6. Step 6: Final answer
    x = 236,067.81

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