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Finding the Third Proportional to 105,922 and 155,131

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Solution

The third proportional to 105,922 and 155,131 is: 227,201.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,922 : 155,131 = 155,131 : x
  2. Step 2: Convert to fraction form
    105,922/155,131 = 155,131/x
  3. Step 3: Cross multiply
    105,922x = 155,131 × 155,131
  4. Step 4: Simplify right side
    105,922x = 24,065,627,161
  5. Step 5: Solve for x
    x = 24,065,627,161/105,922
  6. Step 6: Final answer
    x = 227,201.40

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.