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Finding the Third Proportional to 73,855 and 161,077

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Solution

The third proportional to 73,855 and 161,077 is: 351,307.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,855 : 161,077 = 161,077 : x
  2. Step 2: Convert to fraction form
    73,855/161,077 = 161,077/x
  3. Step 3: Cross multiply
    73,855x = 161,077 × 161,077
  4. Step 4: Simplify right side
    73,855x = 25,945,799,929
  5. Step 5: Solve for x
    x = 25,945,799,929/73,855
  6. Step 6: Final answer
    x = 351,307.29

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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.