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Finding the Third Proportional to 103,599 and 146,230

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Solution

The third proportional to 103,599 and 146,230 is: 206,403.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,599 : 146,230 = 146,230 : x
  2. Step 2: Convert to fraction form
    103,599/146,230 = 146,230/x
  3. Step 3: Cross multiply
    103,599x = 146,230 × 146,230
  4. Step 4: Simplify right side
    103,599x = 21,383,212,900
  5. Step 5: Solve for x
    x = 21,383,212,900/103,599
  6. Step 6: Final answer
    x = 206,403.66

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.