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Finding the Third Proportional to 94,087.50 and 203,511

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Solution

The third proportional to 94,087.50 and 203,511 is: 440,193.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,087.50 : 203,511 = 203,511 : x
  2. Step 2: Convert to fraction form
    94,087.50/203,511 = 203,511/x
  3. Step 3: Cross multiply
    94,087.50x = 203,511 × 203,511
  4. Step 4: Simplify right side
    94,087.50x = 41,416,727,121
  5. Step 5: Solve for x
    x = 41,416,727,121/94,087.50
  6. Step 6: Final answer
    x = 440,193.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.