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Finding the Third Proportional to 84,150.38 and 180,120.94

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Solution

The third proportional to 84,150.38 and 180,120.94 is: 385,542.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,150.38 : 180,120.94 = 180,120.94 : x
  2. Step 2: Convert to fraction form
    84,150.38/180,120.94 = 180,120.94/x
  3. Step 3: Cross multiply
    84,150.38x = 180,120.94 × 180,120.94
  4. Step 4: Simplify right side
    84,150.38x = 32,443,552,125.88
  5. Step 5: Solve for x
    x = 32,443,552,125.88/84,150.38
  6. Step 6: Final answer
    x = 385,542.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.