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Finding the Third Proportional to 68,853 and 150,810

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Solution

The third proportional to 68,853 and 150,810 is: 330,321.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,853 : 150,810 = 150,810 : x
  2. Step 2: Convert to fraction form
    68,853/150,810 = 150,810/x
  3. Step 3: Cross multiply
    68,853x = 150,810 × 150,810
  4. Step 4: Simplify right side
    68,853x = 22,743,656,100
  5. Step 5: Solve for x
    x = 22,743,656,100/68,853
  6. Step 6: Final answer
    x = 330,321.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.