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Finding the Third Proportional to 122,400 and 183,960

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Solution

The third proportional to 122,400 and 183,960 is: 276,481.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,400 : 183,960 = 183,960 : x
  2. Step 2: Convert to fraction form
    122,400/183,960 = 183,960/x
  3. Step 3: Cross multiply
    122,400x = 183,960 × 183,960
  4. Step 4: Simplify right side
    122,400x = 33,841,281,600
  5. Step 5: Solve for x
    x = 33,841,281,600/122,400
  6. Step 6: Final answer
    x = 276,481.06

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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.