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Finding the Third Proportional to 63,935 and 100,296

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Solution

The third proportional to 63,935 and 100,296 is: 157,336.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,935 : 100,296 = 100,296 : x
  2. Step 2: Convert to fraction form
    63,935/100,296 = 100,296/x
  3. Step 3: Cross multiply
    63,935x = 100,296 × 100,296
  4. Step 4: Simplify right side
    63,935x = 10,059,287,616
  5. Step 5: Solve for x
    x = 10,059,287,616/63,935
  6. Step 6: Final answer
    x = 157,336.16

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.