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Finding the Third Proportional to 88,973 and 193,474

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Solution

The third proportional to 88,973 and 193,474 is: 420,714.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,973 : 193,474 = 193,474 : x
  2. Step 2: Convert to fraction form
    88,973/193,474 = 193,474/x
  3. Step 3: Cross multiply
    88,973x = 193,474 × 193,474
  4. Step 4: Simplify right side
    88,973x = 37,432,188,676
  5. Step 5: Solve for x
    x = 37,432,188,676/88,973
  6. Step 6: Final answer
    x = 420,714.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.