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Finding the Third Proportional to 84,705.75 and 184,168.69

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Solution

The third proportional to 84,705.75 and 184,168.69 is: 400,422.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,705.75 : 184,168.69 = 184,168.69 : x
  2. Step 2: Convert to fraction form
    84,705.75/184,168.69 = 184,168.69/x
  3. Step 3: Cross multiply
    84,705.75x = 184,168.69 × 184,168.69
  4. Step 4: Simplify right side
    84,705.75x = 33,918,105,455.47
  5. Step 5: Solve for x
    x = 33,918,105,455.47/84,705.75
  6. Step 6: Final answer
    x = 400,422.70

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