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Finding the Third Proportional to 73,861 and 161,255

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Solution

The third proportional to 73,861 and 161,255 is: 352,055.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,861 : 161,255 = 161,255 : x
  2. Step 2: Convert to fraction form
    73,861/161,255 = 161,255/x
  3. Step 3: Cross multiply
    73,861x = 161,255 × 161,255
  4. Step 4: Simplify right side
    73,861x = 26,003,175,025
  5. Step 5: Solve for x
    x = 26,003,175,025/73,861
  6. Step 6: Final answer
    x = 352,055.55

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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.