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Finding the Third Proportional to 73,037 and 155,491

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Solution

The third proportional to 73,037 and 155,491 is: 331,030.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,037 : 155,491 = 155,491 : x
  2. Step 2: Convert to fraction form
    73,037/155,491 = 155,491/x
  3. Step 3: Cross multiply
    73,037x = 155,491 × 155,491
  4. Step 4: Simplify right side
    73,037x = 24,177,451,081
  5. Step 5: Solve for x
    x = 24,177,451,081/73,037
  6. Step 6: Final answer
    x = 331,030.18

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.