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Finding the Third Proportional to 84,927 and 173,539

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Solution

The third proportional to 84,927 and 173,539 is: 354,607.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,927 : 173,539 = 173,539 : x
  2. Step 2: Convert to fraction form
    84,927/173,539 = 173,539/x
  3. Step 3: Cross multiply
    84,927x = 173,539 × 173,539
  4. Step 4: Simplify right side
    84,927x = 30,115,784,521
  5. Step 5: Solve for x
    x = 30,115,784,521/84,927
  6. Step 6: Final answer
    x = 354,607.89

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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.