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Finding the Third Proportional to 119,067 and 161,706

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Solution

The third proportional to 119,067 and 161,706 is: 219,614.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,067 : 161,706 = 161,706 : x
  2. Step 2: Convert to fraction form
    119,067/161,706 = 161,706/x
  3. Step 3: Cross multiply
    119,067x = 161,706 × 161,706
  4. Step 4: Simplify right side
    119,067x = 26,148,830,436
  5. Step 5: Solve for x
    x = 26,148,830,436/119,067
  6. Step 6: Final answer
    x = 219,614.42

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.