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Finding the Third Proportional to 73,948 and 161,891

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Solution

The third proportional to 73,948 and 161,891 is: 354,420.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,948 : 161,891 = 161,891 : x
  2. Step 2: Convert to fraction form
    73,948/161,891 = 161,891/x
  3. Step 3: Cross multiply
    73,948x = 161,891 × 161,891
  4. Step 4: Simplify right side
    73,948x = 26,208,695,881
  5. Step 5: Solve for x
    x = 26,208,695,881/73,948
  6. Step 6: Final answer
    x = 354,420.62

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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.