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Finding the Third Proportional to 50,199 and 73,911

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Solution

The third proportional to 50,199 and 73,911 is: 108,823.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,199 : 73,911 = 73,911 : x
  2. Step 2: Convert to fraction form
    50,199/73,911 = 73,911/x
  3. Step 3: Cross multiply
    50,199x = 73,911 × 73,911
  4. Step 4: Simplify right side
    50,199x = 5,462,835,921
  5. Step 5: Solve for x
    x = 5,462,835,921/50,199
  6. Step 6: Final answer
    x = 108,823.60

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.