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Finding the Third Proportional to 123,252 and 190,099.50

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Solution

The third proportional to 123,252 and 190,099.50 is: 293,202.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,252 : 190,099.50 = 190,099.50 : x
  2. Step 2: Convert to fraction form
    123,252/190,099.50 = 190,099.50/x
  3. Step 3: Cross multiply
    123,252x = 190,099.50 × 190,099.50
  4. Step 4: Simplify right side
    123,252x = 36,137,819,900.25
  5. Step 5: Solve for x
    x = 36,137,819,900.25/123,252
  6. Step 6: Final answer
    x = 293,202.71

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.