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Finding the Third Proportional to 122,872.50 and 165,115.13

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Solution

The third proportional to 122,872.50 and 165,115.13 is: 221,880.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,872.50 : 165,115.13 = 165,115.13 : x
  2. Step 2: Convert to fraction form
    122,872.50/165,115.13 = 165,115.13/x
  3. Step 3: Cross multiply
    122,872.50x = 165,115.13 × 165,115.13
  4. Step 4: Simplify right side
    122,872.50x = 27,263,004,503.77
  5. Step 5: Solve for x
    x = 27,263,004,503.77/122,872.50
  6. Step 6: Final answer
    x = 221,880.44

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.