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Finding the Third Proportional to 84,018.75 and 184,602

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Solution

The third proportional to 84,018.75 and 184,602 is: 405,598.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,018.75 : 184,602 = 184,602 : x
  2. Step 2: Convert to fraction form
    84,018.75/184,602 = 184,602/x
  3. Step 3: Cross multiply
    84,018.75x = 184,602 × 184,602
  4. Step 4: Simplify right side
    84,018.75x = 34,077,898,404
  5. Step 5: Solve for x
    x = 34,077,898,404/84,018.75
  6. Step 6: Final answer
    x = 405,598.73

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.