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Finding the Third Proportional to 40,494 and 85,083

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Solution

The third proportional to 40,494 and 85,083 is: 178,770.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,494 : 85,083 = 85,083 : x
  2. Step 2: Convert to fraction form
    40,494/85,083 = 85,083/x
  3. Step 3: Cross multiply
    40,494x = 85,083 × 85,083
  4. Step 4: Simplify right side
    40,494x = 7,239,116,889
  5. Step 5: Solve for x
    x = 7,239,116,889/40,494
  6. Step 6: Final answer
    x = 178,770.11

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Why These Related Problems?

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