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Finding the Third Proportional to 66,980 and 103,794

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Solution

The third proportional to 66,980 and 103,794 is: 160,841.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,980 : 103,794 = 103,794 : x
  2. Step 2: Convert to fraction form
    66,980/103,794 = 103,794/x
  3. Step 3: Cross multiply
    66,980x = 103,794 × 103,794
  4. Step 4: Simplify right side
    66,980x = 10,773,194,436
  5. Step 5: Solve for x
    x = 10,773,194,436/66,980
  6. Step 6: Final answer
    x = 160,841.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.