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Finding the Third Proportional to 74,225 and 161,771

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Solution

The third proportional to 74,225 and 161,771 is: 352,574.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,225 : 161,771 = 161,771 : x
  2. Step 2: Convert to fraction form
    74,225/161,771 = 161,771/x
  3. Step 3: Cross multiply
    74,225x = 161,771 × 161,771
  4. Step 4: Simplify right side
    74,225x = 26,169,856,441
  5. Step 5: Solve for x
    x = 26,169,856,441/74,225
  6. Step 6: Final answer
    x = 352,574.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.