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Finding the Third Proportional to 67,002 and 90,996

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Solution

The third proportional to 67,002 and 90,996 is: 123,582.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,002 : 90,996 = 90,996 : x
  2. Step 2: Convert to fraction form
    67,002/90,996 = 90,996/x
  3. Step 3: Cross multiply
    67,002x = 90,996 × 90,996
  4. Step 4: Simplify right side
    67,002x = 8,280,272,016
  5. Step 5: Solve for x
    x = 8,280,272,016/67,002
  6. Step 6: Final answer
    x = 123,582.46

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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.