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Finding the Third Proportional to 55,854.75 and 119,704.75

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Solution

The third proportional to 55,854.75 and 119,704.75 is: 256,544.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,854.75 : 119,704.75 = 119,704.75 : x
  2. Step 2: Convert to fraction form
    55,854.75/119,704.75 = 119,704.75/x
  3. Step 3: Cross multiply
    55,854.75x = 119,704.75 × 119,704.75
  4. Step 4: Simplify right side
    55,854.75x = 14,329,227,172.56
  5. Step 5: Solve for x
    x = 14,329,227,172.56/55,854.75
  6. Step 6: Final answer
    x = 256,544.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.