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Finding the Third Proportional to 71,577 and 161,712

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Solution

The third proportional to 71,577 and 161,712 is: 365,351.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,577 : 161,712 = 161,712 : x
  2. Step 2: Convert to fraction form
    71,577/161,712 = 161,712/x
  3. Step 3: Cross multiply
    71,577x = 161,712 × 161,712
  4. Step 4: Simplify right side
    71,577x = 26,150,770,944
  5. Step 5: Solve for x
    x = 26,150,770,944/71,577
  6. Step 6: Final answer
    x = 365,351.59

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.