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Finding the Third Proportional to 92,518.50 and 192,309

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Solution

The third proportional to 92,518.50 and 192,309 is: 399,733.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,518.50 : 192,309 = 192,309 : x
  2. Step 2: Convert to fraction form
    92,518.50/192,309 = 192,309/x
  3. Step 3: Cross multiply
    92,518.50x = 192,309 × 192,309
  4. Step 4: Simplify right side
    92,518.50x = 36,982,751,481
  5. Step 5: Solve for x
    x = 36,982,751,481/92,518.50
  6. Step 6: Final answer
    x = 399,733.58

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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.