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Finding the Third Proportional to 103,651 and 155,443

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Solution

The third proportional to 103,651 and 155,443 is: 233,114.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,651 : 155,443 = 155,443 : x
  2. Step 2: Convert to fraction form
    103,651/155,443 = 155,443/x
  3. Step 3: Cross multiply
    103,651x = 155,443 × 155,443
  4. Step 4: Simplify right side
    103,651x = 24,162,526,249
  5. Step 5: Solve for x
    x = 24,162,526,249/103,651
  6. Step 6: Final answer
    x = 233,114.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.