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Finding the Third Proportional to 41,974.45 and 90,714.94

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Solution

The third proportional to 41,974.45 and 90,714.94 is: 196,052.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,974.45 : 90,714.94 = 90,714.94 : x
  2. Step 2: Convert to fraction form
    41,974.45/90,714.94 = 90,714.94/x
  3. Step 3: Cross multiply
    41,974.45x = 90,714.94 × 90,714.94
  4. Step 4: Simplify right side
    41,974.45x = 8,229,199,885.63
  5. Step 5: Solve for x
    x = 8,229,199,885.63/41,974.45
  6. Step 6: Final answer
    x = 196,052.58

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