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Finding the Third Proportional to 118,796 and 184,542

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Solution

The third proportional to 118,796 and 184,542 is: 286,674.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,796 : 184,542 = 184,542 : x
  2. Step 2: Convert to fraction form
    118,796/184,542 = 184,542/x
  3. Step 3: Cross multiply
    118,796x = 184,542 × 184,542
  4. Step 4: Simplify right side
    118,796x = 34,055,749,764
  5. Step 5: Solve for x
    x = 34,055,749,764/118,796
  6. Step 6: Final answer
    x = 286,674.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.