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Finding the Third Proportional to 54,825 and 119,700

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Solution

The third proportional to 54,825 and 119,700 is: 261,342.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,825 : 119,700 = 119,700 : x
  2. Step 2: Convert to fraction form
    54,825/119,700 = 119,700/x
  3. Step 3: Cross multiply
    54,825x = 119,700 × 119,700
  4. Step 4: Simplify right side
    54,825x = 14,328,090,000
  5. Step 5: Solve for x
    x = 14,328,090,000/54,825
  6. Step 6: Final answer
    x = 261,342.27

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Why These Related Problems?

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