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Finding the Third Proportional to 119,270 and 167,155

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Solution

The third proportional to 119,270 and 167,155 is: 234,265.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,270 : 167,155 = 167,155 : x
  2. Step 2: Convert to fraction form
    119,270/167,155 = 167,155/x
  3. Step 3: Cross multiply
    119,270x = 167,155 × 167,155
  4. Step 4: Simplify right side
    119,270x = 27,940,794,025
  5. Step 5: Solve for x
    x = 27,940,794,025/119,270
  6. Step 6: Final answer
    x = 234,265.06

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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.