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Finding the Third Proportional to 90,467 and 192,957

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Solution

The third proportional to 90,467 and 192,957 is: 411,557.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,467 : 192,957 = 192,957 : x
  2. Step 2: Convert to fraction form
    90,467/192,957 = 192,957/x
  3. Step 3: Cross multiply
    90,467x = 192,957 × 192,957
  4. Step 4: Simplify right side
    90,467x = 37,232,403,849
  5. Step 5: Solve for x
    x = 37,232,403,849/90,467
  6. Step 6: Final answer
    x = 411,557.85

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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.