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Finding the Third Proportional to 119,748.63 and 166,500.88

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Solution

The third proportional to 119,748.63 and 166,500.88 is: 231,506.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,748.63 : 166,500.88 = 166,500.88 : x
  2. Step 2: Convert to fraction form
    119,748.63/166,500.88 = 166,500.88/x
  3. Step 3: Cross multiply
    119,748.63x = 166,500.88 × 166,500.88
  4. Step 4: Simplify right side
    119,748.63x = 27,722,541,375.77
  5. Step 5: Solve for x
    x = 27,722,541,375.77/119,748.63
  6. Step 6: Final answer
    x = 231,506.14

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.