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Finding the Third Proportional to 85,914 and 203,134.50

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Solution

The third proportional to 85,914 and 203,134.50 is: 480,289.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,914 : 203,134.50 = 203,134.50 : x
  2. Step 2: Convert to fraction form
    85,914/203,134.50 = 203,134.50/x
  3. Step 3: Cross multiply
    85,914x = 203,134.50 × 203,134.50
  4. Step 4: Simplify right side
    85,914x = 41,263,625,090.25
  5. Step 5: Solve for x
    x = 41,263,625,090.25/85,914
  6. Step 6: Final answer
    x = 480,289.88

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.