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Finding the Third Proportional to 103,225 and 150,853

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Solution

The third proportional to 103,225 and 150,853 is: 220,456.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,225 : 150,853 = 150,853 : x
  2. Step 2: Convert to fraction form
    103,225/150,853 = 150,853/x
  3. Step 3: Cross multiply
    103,225x = 150,853 × 150,853
  4. Step 4: Simplify right side
    103,225x = 22,756,627,609
  5. Step 5: Solve for x
    x = 22,756,627,609/103,225
  6. Step 6: Final answer
    x = 220,456.55

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.