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Finding the Third Proportional to 92,521.50 and 192,315

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Solution

The third proportional to 92,521.50 and 192,315 is: 399,745.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,521.50 : 192,315 = 192,315 : x
  2. Step 2: Convert to fraction form
    92,521.50/192,315 = 192,315/x
  3. Step 3: Cross multiply
    92,521.50x = 192,315 × 192,315
  4. Step 4: Simplify right side
    92,521.50x = 36,985,059,225
  5. Step 5: Solve for x
    x = 36,985,059,225/92,521.50
  6. Step 6: Final answer
    x = 399,745.56

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.