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Finding the Third Proportional to 45,085.50 and 96,425

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Solution

The third proportional to 45,085.50 and 96,425 is: 206,225.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,085.50 : 96,425 = 96,425 : x
  2. Step 2: Convert to fraction form
    45,085.50/96,425 = 96,425/x
  3. Step 3: Cross multiply
    45,085.50x = 96,425 × 96,425
  4. Step 4: Simplify right side
    45,085.50x = 9,297,780,625
  5. Step 5: Solve for x
    x = 9,297,780,625/45,085.50
  6. Step 6: Final answer
    x = 206,225.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.