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Finding the Third Proportional to 148,533.75 and 188,902.13

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Solution

The third proportional to 148,533.75 and 188,902.13 is: 240,241.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,533.75 : 188,902.13 = 188,902.13 : x
  2. Step 2: Convert to fraction form
    148,533.75/188,902.13 = 188,902.13/x
  3. Step 3: Cross multiply
    148,533.75x = 188,902.13 × 188,902.13
  4. Step 4: Simplify right side
    148,533.75x = 35,684,012,829.52
  5. Step 5: Solve for x
    x = 35,684,012,829.52/148,533.75
  6. Step 6: Final answer
    x = 240,241.78

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These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.