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Finding the Third Proportional to 50,000 and 77,388

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Solution

The third proportional to 50,000 and 77,388 is: 119,778.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,000 : 77,388 = 77,388 : x
  2. Step 2: Convert to fraction form
    50,000/77,388 = 77,388/x
  3. Step 3: Cross multiply
    50,000x = 77,388 × 77,388
  4. Step 4: Simplify right side
    50,000x = 5,988,902,544
  5. Step 5: Solve for x
    x = 5,988,902,544/50,000
  6. Step 6: Final answer
    x = 119,778.05

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.