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Finding the Third Proportional to 50,142.50 and 110,125

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Solution

The third proportional to 50,142.50 and 110,125 is: 241,861.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,142.50 : 110,125 = 110,125 : x
  2. Step 2: Convert to fraction form
    50,142.50/110,125 = 110,125/x
  3. Step 3: Cross multiply
    50,142.50x = 110,125 × 110,125
  4. Step 4: Simplify right side
    50,142.50x = 12,127,515,625
  5. Step 5: Solve for x
    x = 12,127,515,625/50,142.50
  6. Step 6: Final answer
    x = 241,861.01

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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.