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Finding the Third Proportional to 52,517 and 78,593

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Solution

The third proportional to 52,517 and 78,593 is: 117,616.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,517 : 78,593 = 78,593 : x
  2. Step 2: Convert to fraction form
    52,517/78,593 = 78,593/x
  3. Step 3: Cross multiply
    52,517x = 78,593 × 78,593
  4. Step 4: Simplify right side
    52,517x = 6,176,859,649
  5. Step 5: Solve for x
    x = 6,176,859,649/52,517
  6. Step 6: Final answer
    x = 117,616.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.