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Finding the Third Proportional to 84,971 and 173,628

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Solution

The third proportional to 84,971 and 173,628 is: 354,787.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,971 : 173,628 = 173,628 : x
  2. Step 2: Convert to fraction form
    84,971/173,628 = 173,628/x
  3. Step 3: Cross multiply
    84,971x = 173,628 × 173,628
  4. Step 4: Simplify right side
    84,971x = 30,146,682,384
  5. Step 5: Solve for x
    x = 30,146,682,384/84,971
  6. Step 6: Final answer
    x = 354,787.90

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.