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Finding the Third Proportional to 55,854.84 and 119,704.78

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Solution

The third proportional to 55,854.84 and 119,704.78 is: 256,544.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,854.84 : 119,704.78 = 119,704.78 : x
  2. Step 2: Convert to fraction form
    55,854.84/119,704.78 = 119,704.78/x
  3. Step 3: Cross multiply
    55,854.84x = 119,704.78 × 119,704.78
  4. Step 4: Simplify right side
    55,854.84x = 14,329,234,654.11
  5. Step 5: Solve for x
    x = 14,329,234,654.11/55,854.84
  6. Step 6: Final answer
    x = 256,544.17

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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.