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Finding the Third Proportional to 84,150.25 and 180,120.88

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Solution

The third proportional to 84,150.25 and 180,120.88 is: 385,542.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,150.25 : 180,120.88 = 180,120.88 : x
  2. Step 2: Convert to fraction form
    84,150.25/180,120.88 = 180,120.88/x
  3. Step 3: Cross multiply
    84,150.25x = 180,120.88 × 180,120.88
  4. Step 4: Simplify right side
    84,150.25x = 32,443,529,610.77
  5. Step 5: Solve for x
    x = 32,443,529,610.77/84,150.25
  6. Step 6: Final answer
    x = 385,542.88

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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.