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Finding the Third Proportional to 119,921 and 173,251

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Solution

The third proportional to 119,921 and 173,251 is: 250,297.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,921 : 173,251 = 173,251 : x
  2. Step 2: Convert to fraction form
    119,921/173,251 = 173,251/x
  3. Step 3: Cross multiply
    119,921x = 173,251 × 173,251
  4. Step 4: Simplify right side
    119,921x = 30,015,909,001
  5. Step 5: Solve for x
    x = 30,015,909,001/119,921
  6. Step 6: Final answer
    x = 250,297.35

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.