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Finding the Third Proportional to 122,492.50 and 183,738.75

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Solution

The third proportional to 122,492.50 and 183,738.75 is: 275,608.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,492.50 : 183,738.75 = 183,738.75 : x
  2. Step 2: Convert to fraction form
    122,492.50/183,738.75 = 183,738.75/x
  3. Step 3: Cross multiply
    122,492.50x = 183,738.75 × 183,738.75
  4. Step 4: Simplify right side
    122,492.50x = 33,759,928,251.56
  5. Step 5: Solve for x
    x = 33,759,928,251.56/122,492.50
  6. Step 6: Final answer
    x = 275,608.13

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