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Finding the Third Proportional to 94,126.50 and 206,685

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Solution

The third proportional to 94,126.50 and 206,685 is: 453,843.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,126.50 : 206,685 = 206,685 : x
  2. Step 2: Convert to fraction form
    94,126.50/206,685 = 206,685/x
  3. Step 3: Cross multiply
    94,126.50x = 206,685 × 206,685
  4. Step 4: Simplify right side
    94,126.50x = 42,718,689,225
  5. Step 5: Solve for x
    x = 42,718,689,225/94,126.50
  6. Step 6: Final answer
    x = 453,843.38

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.