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Finding the Third Proportional to 103,120 and 217,296

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Solution

The third proportional to 103,120 and 217,296 is: 457,889.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,120 : 217,296 = 217,296 : x
  2. Step 2: Convert to fraction form
    103,120/217,296 = 217,296/x
  3. Step 3: Cross multiply
    103,120x = 217,296 × 217,296
  4. Step 4: Simplify right side
    103,120x = 47,217,551,616
  5. Step 5: Solve for x
    x = 47,217,551,616/103,120
  6. Step 6: Final answer
    x = 457,889.37

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.