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Finding the Third Proportional to 46,749 and 96,255

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Solution

The third proportional to 46,749 and 96,255 is: 198,186.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,749 : 96,255 = 96,255 : x
  2. Step 2: Convert to fraction form
    46,749/96,255 = 96,255/x
  3. Step 3: Cross multiply
    46,749x = 96,255 × 96,255
  4. Step 4: Simplify right side
    46,749x = 9,265,025,025
  5. Step 5: Solve for x
    x = 9,265,025,025/46,749
  6. Step 6: Final answer
    x = 198,186.59

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.