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Finding the Third Proportional to 68,224 and 103,396

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Solution

The third proportional to 68,224 and 103,396 is: 156,700.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,224 : 103,396 = 103,396 : x
  2. Step 2: Convert to fraction form
    68,224/103,396 = 103,396/x
  3. Step 3: Cross multiply
    68,224x = 103,396 × 103,396
  4. Step 4: Simplify right side
    68,224x = 10,690,732,816
  5. Step 5: Solve for x
    x = 10,690,732,816/68,224
  6. Step 6: Final answer
    x = 156,700.47

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.