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Finding the Third Proportional to 119,077 and 169,259

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Solution

The third proportional to 119,077 and 169,259 is: 240,588.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,077 : 169,259 = 169,259 : x
  2. Step 2: Convert to fraction form
    119,077/169,259 = 169,259/x
  3. Step 3: Cross multiply
    119,077x = 169,259 × 169,259
  4. Step 4: Simplify right side
    119,077x = 28,648,609,081
  5. Step 5: Solve for x
    x = 28,648,609,081/119,077
  6. Step 6: Final answer
    x = 240,588.94

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.