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Finding the Third Proportional to 46,024 and 95,571

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Solution

The third proportional to 46,024 and 95,571 is: 198,457.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,024 : 95,571 = 95,571 : x
  2. Step 2: Convert to fraction form
    46,024/95,571 = 95,571/x
  3. Step 3: Cross multiply
    46,024x = 95,571 × 95,571
  4. Step 4: Simplify right side
    46,024x = 9,133,816,041
  5. Step 5: Solve for x
    x = 9,133,816,041/46,024
  6. Step 6: Final answer
    x = 198,457.68

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.