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Finding the Third Proportional to 54,057 and 110,782.50

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Solution

The third proportional to 54,057 and 110,782.50 is: 227,033.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,057 : 110,782.50 = 110,782.50 : x
  2. Step 2: Convert to fraction form
    54,057/110,782.50 = 110,782.50/x
  3. Step 3: Cross multiply
    54,057x = 110,782.50 × 110,782.50
  4. Step 4: Simplify right side
    54,057x = 12,272,762,306.25
  5. Step 5: Solve for x
    x = 12,272,762,306.25/54,057
  6. Step 6: Final answer
    x = 227,033.73

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.