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Finding the Third Proportional to 60,086 and 91,425

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Solution

The third proportional to 60,086 and 91,425 is: 139,109.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,086 : 91,425 = 91,425 : x
  2. Step 2: Convert to fraction form
    60,086/91,425 = 91,425/x
  3. Step 3: Cross multiply
    60,086x = 91,425 × 91,425
  4. Step 4: Simplify right side
    60,086x = 8,358,530,625
  5. Step 5: Solve for x
    x = 8,358,530,625/60,086
  6. Step 6: Final answer
    x = 139,109.45

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.