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Finding the Third Proportional to 84,756 and 184,140

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Solution

The third proportional to 84,756 and 184,140 is: 400,060.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,756 : 184,140 = 184,140 : x
  2. Step 2: Convert to fraction form
    84,756/184,140 = 184,140/x
  3. Step 3: Cross multiply
    84,756x = 184,140 × 184,140
  4. Step 4: Simplify right side
    84,756x = 33,907,539,600
  5. Step 5: Solve for x
    x = 33,907,539,600/84,756
  6. Step 6: Final answer
    x = 400,060.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.