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Finding the Third Proportional to 122,087.25 and 183,002.63

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Solution

The third proportional to 122,087.25 and 183,002.63 is: 274,311.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,087.25 : 183,002.63 = 183,002.63 : x
  2. Step 2: Convert to fraction form
    122,087.25/183,002.63 = 183,002.63/x
  3. Step 3: Cross multiply
    122,087.25x = 183,002.63 × 183,002.63
  4. Step 4: Simplify right side
    122,087.25x = 33,489,960,756.89
  5. Step 5: Solve for x
    x = 33,489,960,756.89/122,087.25
  6. Step 6: Final answer
    x = 274,311.70

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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.