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Finding the Third Proportional to 50,085 and 77,517

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Solution

The third proportional to 50,085 and 77,517 is: 119,973.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,085 : 77,517 = 77,517 : x
  2. Step 2: Convert to fraction form
    50,085/77,517 = 77,517/x
  3. Step 3: Cross multiply
    50,085x = 77,517 × 77,517
  4. Step 4: Simplify right side
    50,085x = 6,008,885,289
  5. Step 5: Solve for x
    x = 6,008,885,289/50,085
  6. Step 6: Final answer
    x = 119,973.75

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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.