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Finding the Third Proportional to 115,947 and 184,439

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Solution

The third proportional to 115,947 and 184,439 is: 293,390.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,947 : 184,439 = 184,439 : x
  2. Step 2: Convert to fraction form
    115,947/184,439 = 184,439/x
  3. Step 3: Cross multiply
    115,947x = 184,439 × 184,439
  4. Step 4: Simplify right side
    115,947x = 34,017,744,721
  5. Step 5: Solve for x
    x = 34,017,744,721/115,947
  6. Step 6: Final answer
    x = 293,390.47

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.