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Finding the Third Proportional to 50,432 and 68,525

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Solution

The third proportional to 50,432 and 68,525 is: 93,109.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,432 : 68,525 = 68,525 : x
  2. Step 2: Convert to fraction form
    50,432/68,525 = 68,525/x
  3. Step 3: Cross multiply
    50,432x = 68,525 × 68,525
  4. Step 4: Simplify right side
    50,432x = 4,695,675,625
  5. Step 5: Solve for x
    x = 4,695,675,625/50,432
  6. Step 6: Final answer
    x = 93,109.05

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.