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Finding the Third Proportional to 104,282 and 149,439

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Solution

The third proportional to 104,282 and 149,439 is: 214,150.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,282 : 149,439 = 149,439 : x
  2. Step 2: Convert to fraction form
    104,282/149,439 = 149,439/x
  3. Step 3: Cross multiply
    104,282x = 149,439 × 149,439
  4. Step 4: Simplify right side
    104,282x = 22,332,014,721
  5. Step 5: Solve for x
    x = 22,332,014,721/104,282
  6. Step 6: Final answer
    x = 214,150.23

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.