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Finding the Third Proportional to 119,074 and 166,483

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Solution

The third proportional to 119,074 and 166,483 is: 232,767.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,074 : 166,483 = 166,483 : x
  2. Step 2: Convert to fraction form
    119,074/166,483 = 166,483/x
  3. Step 3: Cross multiply
    119,074x = 166,483 × 166,483
  4. Step 4: Simplify right side
    119,074x = 27,716,589,289
  5. Step 5: Solve for x
    x = 27,716,589,289/119,074
  6. Step 6: Final answer
    x = 232,767.77

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.