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Finding the Third Proportional to 120,272.50 and 183,244

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Solution

The third proportional to 120,272.50 and 183,244 is: 279,185.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,272.50 : 183,244 = 183,244 : x
  2. Step 2: Convert to fraction form
    120,272.50/183,244 = 183,244/x
  3. Step 3: Cross multiply
    120,272.50x = 183,244 × 183,244
  4. Step 4: Simplify right side
    120,272.50x = 33,578,363,536
  5. Step 5: Solve for x
    x = 33,578,363,536/120,272.50
  6. Step 6: Final answer
    x = 279,185.71

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.