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Finding the Third Proportional to 89,379.75 and 184,946

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Solution

The third proportional to 89,379.75 and 184,946 is: 382,693.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,379.75 : 184,946 = 184,946 : x
  2. Step 2: Convert to fraction form
    89,379.75/184,946 = 184,946/x
  3. Step 3: Cross multiply
    89,379.75x = 184,946 × 184,946
  4. Step 4: Simplify right side
    89,379.75x = 34,205,022,916
  5. Step 5: Solve for x
    x = 34,205,022,916/89,379.75
  6. Step 6: Final answer
    x = 382,693.20

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.