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Finding the Third Proportional to 119,759 and 166,513

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Solution

The third proportional to 119,759 and 166,513 is: 231,519.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,759 : 166,513 = 166,513 : x
  2. Step 2: Convert to fraction form
    119,759/166,513 = 166,513/x
  3. Step 3: Cross multiply
    119,759x = 166,513 × 166,513
  4. Step 4: Simplify right side
    119,759x = 27,726,579,169
  5. Step 5: Solve for x
    x = 27,726,579,169/119,759
  6. Step 6: Final answer
    x = 231,519.80

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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.