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Finding the Third Proportional to 56,227.50 and 119,741.63

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Solution

The third proportional to 56,227.50 and 119,741.63 is: 255,000.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,227.50 : 119,741.63 = 119,741.63 : x
  2. Step 2: Convert to fraction form
    56,227.50/119,741.63 = 119,741.63/x
  3. Step 3: Cross multiply
    56,227.50x = 119,741.63 × 119,741.63
  4. Step 4: Simplify right side
    56,227.50x = 14,338,056,757.64
  5. Step 5: Solve for x
    x = 14,338,056,757.64/56,227.50
  6. Step 6: Final answer
    x = 255,000.79

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.