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Finding the Third Proportional to 50,429.50 and 68,522

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Solution

The third proportional to 50,429.50 and 68,522 is: 93,105.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,429.50 : 68,522 = 68,522 : x
  2. Step 2: Convert to fraction form
    50,429.50/68,522 = 68,522/x
  3. Step 3: Cross multiply
    50,429.50x = 68,522 × 68,522
  4. Step 4: Simplify right side
    50,429.50x = 4,695,264,484
  5. Step 5: Solve for x
    x = 4,695,264,484/50,429.50
  6. Step 6: Final answer
    x = 93,105.51

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.