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Finding the Third Proportional to 84,361.50 and 122,593.50

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Solution

The third proportional to 84,361.50 and 122,593.50 is: 178,151.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,361.50 : 122,593.50 = 122,593.50 : x
  2. Step 2: Convert to fraction form
    84,361.50/122,593.50 = 122,593.50/x
  3. Step 3: Cross multiply
    84,361.50x = 122,593.50 × 122,593.50
  4. Step 4: Simplify right side
    84,361.50x = 15,029,166,242.25
  5. Step 5: Solve for x
    x = 15,029,166,242.25/84,361.50
  6. Step 6: Final answer
    x = 178,151.96

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.