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Finding the Third Proportional to 85,086 and 119,034

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Solution

The third proportional to 85,086 and 119,034 is: 166,526.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,086 : 119,034 = 119,034 : x
  2. Step 2: Convert to fraction form
    85,086/119,034 = 119,034/x
  3. Step 3: Cross multiply
    85,086x = 119,034 × 119,034
  4. Step 4: Simplify right side
    85,086x = 14,169,093,156
  5. Step 5: Solve for x
    x = 14,169,093,156/85,086
  6. Step 6: Final answer
    x = 166,526.73

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.