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Finding the Third Proportional to 73,286 and 156,936

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Solution

The third proportional to 73,286 and 156,936 is: 336,065.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,286 : 156,936 = 156,936 : x
  2. Step 2: Convert to fraction form
    73,286/156,936 = 156,936/x
  3. Step 3: Cross multiply
    73,286x = 156,936 × 156,936
  4. Step 4: Simplify right side
    73,286x = 24,628,908,096
  5. Step 5: Solve for x
    x = 24,628,908,096/73,286
  6. Step 6: Final answer
    x = 336,065.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.