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Finding the Third Proportional to 46,260 and 96,166

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Solution

The third proportional to 46,260 and 96,166 is: 199,911.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,260 : 96,166 = 96,166 : x
  2. Step 2: Convert to fraction form
    46,260/96,166 = 96,166/x
  3. Step 3: Cross multiply
    46,260x = 96,166 × 96,166
  4. Step 4: Simplify right side
    46,260x = 9,247,899,556
  5. Step 5: Solve for x
    x = 9,247,899,556/46,260
  6. Step 6: Final answer
    x = 199,911.36

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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.