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Finding the Third Proportional to 89,220.75 and 122,342.25

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Solution

The third proportional to 89,220.75 and 122,342.25 is: 167,759.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,220.75 : 122,342.25 = 122,342.25 : x
  2. Step 2: Convert to fraction form
    89,220.75/122,342.25 = 122,342.25/x
  3. Step 3: Cross multiply
    89,220.75x = 122,342.25 × 122,342.25
  4. Step 4: Simplify right side
    89,220.75x = 14,967,626,135.06
  5. Step 5: Solve for x
    x = 14,967,626,135.06/89,220.75
  6. Step 6: Final answer
    x = 167,759.47

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.