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Finding the Third Proportional to 73,164 and 106,958

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Solution

The third proportional to 73,164 and 106,958 is: 156,361.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,164 : 106,958 = 106,958 : x
  2. Step 2: Convert to fraction form
    73,164/106,958 = 106,958/x
  3. Step 3: Cross multiply
    73,164x = 106,958 × 106,958
  4. Step 4: Simplify right side
    73,164x = 11,440,013,764
  5. Step 5: Solve for x
    x = 11,440,013,764/73,164
  6. Step 6: Final answer
    x = 156,361.24

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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.