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Finding the Third Proportional to 108,980 and 146,163

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Solution

The third proportional to 108,980 and 146,163 is: 196,032.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,980 : 146,163 = 146,163 : x
  2. Step 2: Convert to fraction form
    108,980/146,163 = 146,163/x
  3. Step 3: Cross multiply
    108,980x = 146,163 × 146,163
  4. Step 4: Simplify right side
    108,980x = 21,363,622,569
  5. Step 5: Solve for x
    x = 21,363,622,569/108,980
  6. Step 6: Final answer
    x = 196,032.51

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.