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Finding the Third Proportional to 122,087.75 and 183,003.25

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Solution

The third proportional to 122,087.75 and 183,003.25 is: 274,312.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,087.75 : 183,003.25 = 183,003.25 : x
  2. Step 2: Convert to fraction form
    122,087.75/183,003.25 = 183,003.25/x
  3. Step 3: Cross multiply
    122,087.75x = 183,003.25 × 183,003.25
  4. Step 4: Simplify right side
    122,087.75x = 33,490,189,510.56
  5. Step 5: Solve for x
    x = 33,490,189,510.56/122,087.75
  6. Step 6: Final answer
    x = 274,312.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.