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Finding the Third Proportional to 122,141 and 193,870

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Solution

The third proportional to 122,141 and 193,870 is: 307,722.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,141 : 193,870 = 193,870 : x
  2. Step 2: Convert to fraction form
    122,141/193,870 = 193,870/x
  3. Step 3: Cross multiply
    122,141x = 193,870 × 193,870
  4. Step 4: Simplify right side
    122,141x = 37,585,576,900
  5. Step 5: Solve for x
    x = 37,585,576,900/122,141
  6. Step 6: Final answer
    x = 307,722.85

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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.