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Finding the Third Proportional to 75,646 and 161,228

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Solution

The third proportional to 75,646 and 161,228 is: 343,633.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,646 : 161,228 = 161,228 : x
  2. Step 2: Convert to fraction form
    75,646/161,228 = 161,228/x
  3. Step 3: Cross multiply
    75,646x = 161,228 × 161,228
  4. Step 4: Simplify right side
    75,646x = 25,994,467,984
  5. Step 5: Solve for x
    x = 25,994,467,984/75,646
  6. Step 6: Final answer
    x = 343,633.08

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.