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Finding the Third Proportional to 56,704.22 and 123,784.88

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Solution

The third proportional to 56,704.22 and 123,784.88 is: 270,221.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,704.22 : 123,784.88 = 123,784.88 : x
  2. Step 2: Convert to fraction form
    56,704.22/123,784.88 = 123,784.88/x
  3. Step 3: Cross multiply
    56,704.22x = 123,784.88 × 123,784.88
  4. Step 4: Simplify right side
    56,704.22x = 15,322,695,278.77
  5. Step 5: Solve for x
    x = 15,322,695,278.77/56,704.22
  6. Step 6: Final answer
    x = 270,221.43

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.