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Finding the Third Proportional to 104,297 and 123,980

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Solution

The third proportional to 104,297 and 123,980 is: 147,377.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,297 : 123,980 = 123,980 : x
  2. Step 2: Convert to fraction form
    104,297/123,980 = 123,980/x
  3. Step 3: Cross multiply
    104,297x = 123,980 × 123,980
  4. Step 4: Simplify right side
    104,297x = 15,371,040,400
  5. Step 5: Solve for x
    x = 15,371,040,400/104,297
  6. Step 6: Final answer
    x = 147,377.59

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Why These Related Problems?

These problems maintain the same ratio (1.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.