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Finding the Third Proportional to 50,911 and 74,057

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Solution

The third proportional to 50,911 and 74,057 is: 107,726.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,911 : 74,057 = 74,057 : x
  2. Step 2: Convert to fraction form
    50,911/74,057 = 74,057/x
  3. Step 3: Cross multiply
    50,911x = 74,057 × 74,057
  4. Step 4: Simplify right side
    50,911x = 5,484,439,249
  5. Step 5: Solve for x
    x = 5,484,439,249/50,911
  6. Step 6: Final answer
    x = 107,726.02

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.