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Finding the Third Proportional to 45,162 and 83,247.75

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Solution

The third proportional to 45,162 and 83,247.75 is: 153,451.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,162 : 83,247.75 = 83,247.75 : x
  2. Step 2: Convert to fraction form
    45,162/83,247.75 = 83,247.75/x
  3. Step 3: Cross multiply
    45,162x = 83,247.75 × 83,247.75
  4. Step 4: Simplify right side
    45,162x = 6,930,187,880.06
  5. Step 5: Solve for x
    x = 6,930,187,880.06/45,162
  6. Step 6: Final answer
    x = 153,451.75

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.