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Finding the Third Proportional to 103,921 and 161,232

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Solution

The third proportional to 103,921 and 161,232 is: 250,149.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,921 : 161,232 = 161,232 : x
  2. Step 2: Convert to fraction form
    103,921/161,232 = 161,232/x
  3. Step 3: Cross multiply
    103,921x = 161,232 × 161,232
  4. Step 4: Simplify right side
    103,921x = 25,995,757,824
  5. Step 5: Solve for x
    x = 25,995,757,824/103,921
  6. Step 6: Final answer
    x = 250,149.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.