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Finding the Third Proportional to 122,152.22 and 186,861.09

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Solution

The third proportional to 122,152.22 and 186,861.09 is: 285,848.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,152.22 : 186,861.09 = 186,861.09 : x
  2. Step 2: Convert to fraction form
    122,152.22/186,861.09 = 186,861.09/x
  3. Step 3: Cross multiply
    122,152.22x = 186,861.09 × 186,861.09
  4. Step 4: Simplify right side
    122,152.22x = 34,917,068,357.45
  5. Step 5: Solve for x
    x = 34,917,068,357.45/122,152.22
  6. Step 6: Final answer
    x = 285,848.83

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.