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Finding the Third Proportional to 122,061.94 and 194,232.94

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Solution

The third proportional to 122,061.94 and 194,232.94 is: 309,076.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,061.94 : 194,232.94 = 194,232.94 : x
  2. Step 2: Convert to fraction form
    122,061.94/194,232.94 = 194,232.94/x
  3. Step 3: Cross multiply
    122,061.94x = 194,232.94 × 194,232.94
  4. Step 4: Simplify right side
    122,061.94x = 37,726,434,009.88
  5. Step 5: Solve for x
    x = 37,726,434,009.88/122,061.94
  6. Step 6: Final answer
    x = 309,076.15

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.