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Finding the Third Proportional to 106,812 and 161,036

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Solution

The third proportional to 106,812 and 161,036 is: 242,787.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,812 : 161,036 = 161,036 : x
  2. Step 2: Convert to fraction form
    106,812/161,036 = 161,036/x
  3. Step 3: Cross multiply
    106,812x = 161,036 × 161,036
  4. Step 4: Simplify right side
    106,812x = 25,932,593,296
  5. Step 5: Solve for x
    x = 25,932,593,296/106,812
  6. Step 6: Final answer
    x = 242,787.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.