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Finding the Third Proportional to 66,986 and 90,969

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Solution

The third proportional to 66,986 and 90,969 is: 123,538.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,986 : 90,969 = 90,969 : x
  2. Step 2: Convert to fraction form
    66,986/90,969 = 90,969/x
  3. Step 3: Cross multiply
    66,986x = 90,969 × 90,969
  4. Step 4: Simplify right side
    66,986x = 8,275,358,961
  5. Step 5: Solve for x
    x = 8,275,358,961/66,986
  6. Step 6: Final answer
    x = 123,538.63

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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.