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Finding the Third Proportional to 148,861 and 194,689

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Solution

The third proportional to 148,861 and 194,689 is: 254,625.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,861 : 194,689 = 194,689 : x
  2. Step 2: Convert to fraction form
    148,861/194,689 = 194,689/x
  3. Step 3: Cross multiply
    148,861x = 194,689 × 194,689
  4. Step 4: Simplify right side
    148,861x = 37,903,806,721
  5. Step 5: Solve for x
    x = 37,903,806,721/148,861
  6. Step 6: Final answer
    x = 254,625.50

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.