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Finding the Third Proportional to 52,941.38 and 116,377.88

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Solution

The third proportional to 52,941.38 and 116,377.88 is: 255,826.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,941.38 : 116,377.88 = 116,377.88 : x
  2. Step 2: Convert to fraction form
    52,941.38/116,377.88 = 116,377.88/x
  3. Step 3: Cross multiply
    52,941.38x = 116,377.88 × 116,377.88
  4. Step 4: Simplify right side
    52,941.38x = 13,543,809,789.52
  5. Step 5: Solve for x
    x = 13,543,809,789.52/52,941.38
  6. Step 6: Final answer
    x = 255,826.56

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