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Finding the Third Proportional to 73,162 and 106,955

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Solution

The third proportional to 73,162 and 106,955 is: 156,356.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,162 : 106,955 = 106,955 : x
  2. Step 2: Convert to fraction form
    73,162/106,955 = 106,955/x
  3. Step 3: Cross multiply
    73,162x = 106,955 × 106,955
  4. Step 4: Simplify right side
    73,162x = 11,439,372,025
  5. Step 5: Solve for x
    x = 11,439,372,025/73,162
  6. Step 6: Final answer
    x = 156,356.74

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Why These Related Problems?

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