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Finding the Third Proportional to 85,536 and 184,896

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Solution

The third proportional to 85,536 and 184,896 is: 399,674.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,536 : 184,896 = 184,896 : x
  2. Step 2: Convert to fraction form
    85,536/184,896 = 184,896/x
  3. Step 3: Cross multiply
    85,536x = 184,896 × 184,896
  4. Step 4: Simplify right side
    85,536x = 34,186,530,816
  5. Step 5: Solve for x
    x = 34,186,530,816/85,536
  6. Step 6: Final answer
    x = 399,674.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.