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Finding the Third Proportional to 50,156 and 77,912

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Solution

The third proportional to 50,156 and 77,912 is: 121,027.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,156 : 77,912 = 77,912 : x
  2. Step 2: Convert to fraction form
    50,156/77,912 = 77,912/x
  3. Step 3: Cross multiply
    50,156x = 77,912 × 77,912
  4. Step 4: Simplify right side
    50,156x = 6,070,279,744
  5. Step 5: Solve for x
    x = 6,070,279,744/50,156
  6. Step 6: Final answer
    x = 121,027.99

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Why These Related Problems?

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