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Finding the Third Proportional to 139,156 and 209,374

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Solution

The third proportional to 139,156 and 209,374 is: 315,023.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,156 : 209,374 = 209,374 : x
  2. Step 2: Convert to fraction form
    139,156/209,374 = 209,374/x
  3. Step 3: Cross multiply
    139,156x = 209,374 × 209,374
  4. Step 4: Simplify right side
    139,156x = 43,837,471,876
  5. Step 5: Solve for x
    x = 43,837,471,876/139,156
  6. Step 6: Final answer
    x = 315,023.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.