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Finding the Third Proportional to 60,975 and 91,625

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Solution

The third proportional to 60,975 and 91,625 is: 137,681.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,975 : 91,625 = 91,625 : x
  2. Step 2: Convert to fraction form
    60,975/91,625 = 91,625/x
  3. Step 3: Cross multiply
    60,975x = 91,625 × 91,625
  4. Step 4: Simplify right side
    60,975x = 8,395,140,625
  5. Step 5: Solve for x
    x = 8,395,140,625/60,975
  6. Step 6: Final answer
    x = 137,681.68

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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.