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Finding the Third Proportional to 119,982.94 and 180,733.78

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Solution

The third proportional to 119,982.94 and 180,733.78 is: 272,244.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,982.94 : 180,733.78 = 180,733.78 : x
  2. Step 2: Convert to fraction form
    119,982.94/180,733.78 = 180,733.78/x
  3. Step 3: Cross multiply
    119,982.94x = 180,733.78 × 180,733.78
  4. Step 4: Simplify right side
    119,982.94x = 32,664,699,684.92
  5. Step 5: Solve for x
    x = 32,664,699,684.92/119,982.94
  6. Step 6: Final answer
    x = 272,244.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.