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Finding the Third Proportional to 85,696 and 184,548

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Solution

The third proportional to 85,696 and 184,548 is: 397,427.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,696 : 184,548 = 184,548 : x
  2. Step 2: Convert to fraction form
    85,696/184,548 = 184,548/x
  3. Step 3: Cross multiply
    85,696x = 184,548 × 184,548
  4. Step 4: Simplify right side
    85,696x = 34,057,964,304
  5. Step 5: Solve for x
    x = 34,057,964,304/85,696
  6. Step 6: Final answer
    x = 397,427.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.