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Finding the Third Proportional to 84,150.75 and 180,121.69

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Solution

The third proportional to 84,150.75 and 180,121.69 is: 385,544.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,150.75 : 180,121.69 = 180,121.69 : x
  2. Step 2: Convert to fraction form
    84,150.75/180,121.69 = 180,121.69/x
  3. Step 3: Cross multiply
    84,150.75x = 180,121.69 × 180,121.69
  4. Step 4: Simplify right side
    84,150.75x = 32,443,822,307.85
  5. Step 5: Solve for x
    x = 32,443,822,307.85/84,150.75
  6. Step 6: Final answer
    x = 385,544.07

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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.