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Finding the Third Proportional to 82,469 and 180,058

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Solution

The third proportional to 82,469 and 180,058 is: 393,128.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,469 : 180,058 = 180,058 : x
  2. Step 2: Convert to fraction form
    82,469/180,058 = 180,058/x
  3. Step 3: Cross multiply
    82,469x = 180,058 × 180,058
  4. Step 4: Simplify right side
    82,469x = 32,420,883,364
  5. Step 5: Solve for x
    x = 32,420,883,364/82,469
  6. Step 6: Final answer
    x = 393,128.13

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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.