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Finding the Third Proportional to 81,469 and 173,693

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Solution

The third proportional to 81,469 and 173,693 is: 370,315.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,469 : 173,693 = 173,693 : x
  2. Step 2: Convert to fraction form
    81,469/173,693 = 173,693/x
  3. Step 3: Cross multiply
    81,469x = 173,693 × 173,693
  4. Step 4: Simplify right side
    81,469x = 30,169,258,249
  5. Step 5: Solve for x
    x = 30,169,258,249/81,469
  6. Step 6: Final answer
    x = 370,315.80

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.