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Finding the Third Proportional to 73,971 and 161,766

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Solution

The third proportional to 73,971 and 161,766 is: 353,763.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,971 : 161,766 = 161,766 : x
  2. Step 2: Convert to fraction form
    73,971/161,766 = 161,766/x
  3. Step 3: Cross multiply
    73,971x = 161,766 × 161,766
  4. Step 4: Simplify right side
    73,971x = 26,168,238,756
  5. Step 5: Solve for x
    x = 26,168,238,756/73,971
  6. Step 6: Final answer
    x = 353,763.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.