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Finding the Third Proportional to 66,980 and 90,967

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Solution

The third proportional to 66,980 and 90,967 is: 123,544.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,980 : 90,967 = 90,967 : x
  2. Step 2: Convert to fraction form
    66,980/90,967 = 90,967/x
  3. Step 3: Cross multiply
    66,980x = 90,967 × 90,967
  4. Step 4: Simplify right side
    66,980x = 8,274,995,089
  5. Step 5: Solve for x
    x = 8,274,995,089/66,980
  6. Step 6: Final answer
    x = 123,544.27

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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.