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Finding the Third Proportional to 73,856 and 161,080

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Solution

The third proportional to 73,856 and 161,080 is: 351,315.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,856 : 161,080 = 161,080 : x
  2. Step 2: Convert to fraction form
    73,856/161,080 = 161,080/x
  3. Step 3: Cross multiply
    73,856x = 161,080 × 161,080
  4. Step 4: Simplify right side
    73,856x = 25,946,766,400
  5. Step 5: Solve for x
    x = 25,946,766,400/73,856
  6. Step 6: Final answer
    x = 351,315.62

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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.