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Finding the Third Proportional to 82,881 and 127,183.50

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Solution

The third proportional to 82,881 and 127,183.50 is: 195,167.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,881 : 127,183.50 = 127,183.50 : x
  2. Step 2: Convert to fraction form
    82,881/127,183.50 = 127,183.50/x
  3. Step 3: Cross multiply
    82,881x = 127,183.50 × 127,183.50
  4. Step 4: Simplify right side
    82,881x = 16,175,642,672.25
  5. Step 5: Solve for x
    x = 16,175,642,672.25/82,881
  6. Step 6: Final answer
    x = 195,167.08

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.