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Finding the Third Proportional to 55,267.31 and 119,339.58

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Solution

The third proportional to 55,267.31 and 119,339.58 is: 257,691.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,267.31 : 119,339.58 = 119,339.58 : x
  2. Step 2: Convert to fraction form
    55,267.31/119,339.58 = 119,339.58/x
  3. Step 3: Cross multiply
    55,267.31x = 119,339.58 × 119,339.58
  4. Step 4: Simplify right side
    55,267.31x = 14,241,934,907.05
  5. Step 5: Solve for x
    x = 14,241,934,907.05/55,267.31
  6. Step 6: Final answer
    x = 257,691.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.