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Finding the Third Proportional to 104,480 and 146,809

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Solution

The third proportional to 104,480 and 146,809 is: 206,287.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,480 : 146,809 = 146,809 : x
  2. Step 2: Convert to fraction form
    104,480/146,809 = 146,809/x
  3. Step 3: Cross multiply
    104,480x = 146,809 × 146,809
  4. Step 4: Simplify right side
    104,480x = 21,552,882,481
  5. Step 5: Solve for x
    x = 21,552,882,481/104,480
  6. Step 6: Final answer
    x = 206,287.16

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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.