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Finding the Third Proportional to 92,764 and 197,523

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Solution

The third proportional to 92,764 and 197,523 is: 420,587.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,764 : 197,523 = 197,523 : x
  2. Step 2: Convert to fraction form
    92,764/197,523 = 197,523/x
  3. Step 3: Cross multiply
    92,764x = 197,523 × 197,523
  4. Step 4: Simplify right side
    92,764x = 39,015,335,529
  5. Step 5: Solve for x
    x = 39,015,335,529/92,764
  6. Step 6: Final answer
    x = 420,587.03

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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.