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Finding the Third Proportional to 40,905 and 85,941

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Solution

The third proportional to 40,905 and 85,941 is: 180,561.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,905 : 85,941 = 85,941 : x
  2. Step 2: Convert to fraction form
    40,905/85,941 = 85,941/x
  3. Step 3: Cross multiply
    40,905x = 85,941 × 85,941
  4. Step 4: Simplify right side
    40,905x = 7,385,855,481
  5. Step 5: Solve for x
    x = 7,385,855,481/40,905
  6. Step 6: Final answer
    x = 180,561.19

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.