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Finding the Third Proportional to 49,123.34 and 76,085.58

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Solution

The third proportional to 49,123.34 and 76,085.58 is: 117,846.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,123.34 : 76,085.58 = 76,085.58 : x
  2. Step 2: Convert to fraction form
    49,123.34/76,085.58 = 76,085.58/x
  3. Step 3: Cross multiply
    49,123.34x = 76,085.58 × 76,085.58
  4. Step 4: Simplify right side
    49,123.34x = 5,789,015,198.62
  5. Step 5: Solve for x
    x = 5,789,015,198.62/49,123.34
  6. Step 6: Final answer
    x = 117,846.54

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.