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Finding the Third Proportional to 47,296 and 100,355

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Solution

The third proportional to 47,296 and 100,355 is: 212,938.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,296 : 100,355 = 100,355 : x
  2. Step 2: Convert to fraction form
    47,296/100,355 = 100,355/x
  3. Step 3: Cross multiply
    47,296x = 100,355 × 100,355
  4. Step 4: Simplify right side
    47,296x = 10,071,126,025
  5. Step 5: Solve for x
    x = 10,071,126,025/47,296
  6. Step 6: Final answer
    x = 212,938.22

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.