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Finding the Third Proportional to 81,466.50 and 122,721.75

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Solution

The third proportional to 81,466.50 and 122,721.75 is: 184,868.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,466.50 : 122,721.75 = 122,721.75 : x
  2. Step 2: Convert to fraction form
    81,466.50/122,721.75 = 122,721.75/x
  3. Step 3: Cross multiply
    81,466.50x = 122,721.75 × 122,721.75
  4. Step 4: Simplify right side
    81,466.50x = 15,060,627,923.06
  5. Step 5: Solve for x
    x = 15,060,627,923.06/81,466.50
  6. Step 6: Final answer
    x = 184,868.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.