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Finding the Third Proportional to 119,748.88 and 166,501.25

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Solution

The third proportional to 119,748.88 and 166,501.25 is: 231,506.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,748.88 : 166,501.25 = 166,501.25 : x
  2. Step 2: Convert to fraction form
    119,748.88/166,501.25 = 166,501.25/x
  3. Step 3: Cross multiply
    119,748.88x = 166,501.25 × 166,501.25
  4. Step 4: Simplify right side
    119,748.88x = 27,722,666,251.56
  5. Step 5: Solve for x
    x = 27,722,666,251.56/119,748.88
  6. Step 6: Final answer
    x = 231,506.69

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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.