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Finding the Third Proportional to 121,368.75 and 188,442.75

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Solution

The third proportional to 121,368.75 and 188,442.75 is: 292,584.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,368.75 : 188,442.75 = 188,442.75 : x
  2. Step 2: Convert to fraction form
    121,368.75/188,442.75 = 188,442.75/x
  3. Step 3: Cross multiply
    121,368.75x = 188,442.75 × 188,442.75
  4. Step 4: Simplify right side
    121,368.75x = 35,510,670,027.56
  5. Step 5: Solve for x
    x = 35,510,670,027.56/121,368.75
  6. Step 6: Final answer
    x = 292,584.95

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.