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Finding the Third Proportional to 59,963 and 85,425

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Solution

The third proportional to 59,963 and 85,425 is: 121,698.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,963 : 85,425 = 85,425 : x
  2. Step 2: Convert to fraction form
    59,963/85,425 = 85,425/x
  3. Step 3: Cross multiply
    59,963x = 85,425 × 85,425
  4. Step 4: Simplify right side
    59,963x = 7,297,430,625
  5. Step 5: Solve for x
    x = 7,297,430,625/59,963
  6. Step 6: Final answer
    x = 121,698.89

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.