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Finding the Third Proportional to 41,768 and 90,103

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Solution

The third proportional to 41,768 and 90,103 is: 194,372.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,768 : 90,103 = 90,103 : x
  2. Step 2: Convert to fraction form
    41,768/90,103 = 90,103/x
  3. Step 3: Cross multiply
    41,768x = 90,103 × 90,103
  4. Step 4: Simplify right side
    41,768x = 8,118,550,609
  5. Step 5: Solve for x
    x = 8,118,550,609/41,768
  6. Step 6: Final answer
    x = 194,372.50

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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.