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Finding the Third Proportional to 118,630 and 184,751

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Solution

The third proportional to 118,630 and 184,751 is: 287,725.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,630 : 184,751 = 184,751 : x
  2. Step 2: Convert to fraction form
    118,630/184,751 = 184,751/x
  3. Step 3: Cross multiply
    118,630x = 184,751 × 184,751
  4. Step 4: Simplify right side
    118,630x = 34,132,932,001
  5. Step 5: Solve for x
    x = 34,132,932,001/118,630
  6. Step 6: Final answer
    x = 287,725.97

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.