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Finding the Third Proportional to 54,595.69 and 120,166.88

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Solution

The third proportional to 54,595.69 and 120,166.88 is: 264,491.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,595.69 : 120,166.88 = 120,166.88 : x
  2. Step 2: Convert to fraction form
    54,595.69/120,166.88 = 120,166.88/x
  3. Step 3: Cross multiply
    54,595.69x = 120,166.88 × 120,166.88
  4. Step 4: Simplify right side
    54,595.69x = 14,440,077,847.27
  5. Step 5: Solve for x
    x = 14,440,077,847.27/54,595.69
  6. Step 6: Final answer
    x = 264,491.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.