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Finding the Third Proportional to 74,098 and 161,806

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Solution

The third proportional to 74,098 and 161,806 is: 353,331.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,098 : 161,806 = 161,806 : x
  2. Step 2: Convert to fraction form
    74,098/161,806 = 161,806/x
  3. Step 3: Cross multiply
    74,098x = 161,806 × 161,806
  4. Step 4: Simplify right side
    74,098x = 26,181,181,636
  5. Step 5: Solve for x
    x = 26,181,181,636/74,098
  6. Step 6: Final answer
    x = 353,331.83

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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.