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Finding the Third Proportional to 119,214 and 165,270

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Solution

The third proportional to 119,214 and 165,270 is: 229,118.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,214 : 165,270 = 165,270 : x
  2. Step 2: Convert to fraction form
    119,214/165,270 = 165,270/x
  3. Step 3: Cross multiply
    119,214x = 165,270 × 165,270
  4. Step 4: Simplify right side
    119,214x = 27,314,172,900
  5. Step 5: Solve for x
    x = 27,314,172,900/119,214
  6. Step 6: Final answer
    x = 229,118.84

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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.