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Finding the Third Proportional to 75,163 and 161,954

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Solution

The third proportional to 75,163 and 161,954 is: 348,962.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,163 : 161,954 = 161,954 : x
  2. Step 2: Convert to fraction form
    75,163/161,954 = 161,954/x
  3. Step 3: Cross multiply
    75,163x = 161,954 × 161,954
  4. Step 4: Simplify right side
    75,163x = 26,229,098,116
  5. Step 5: Solve for x
    x = 26,229,098,116/75,163
  6. Step 6: Final answer
    x = 348,962.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.