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Finding the Third Proportional to 46,729 and 95,645

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Solution

The third proportional to 46,729 and 95,645 is: 195,766.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,729 : 95,645 = 95,645 : x
  2. Step 2: Convert to fraction form
    46,729/95,645 = 95,645/x
  3. Step 3: Cross multiply
    46,729x = 95,645 × 95,645
  4. Step 4: Simplify right side
    46,729x = 9,147,966,025
  5. Step 5: Solve for x
    x = 9,147,966,025/46,729
  6. Step 6: Final answer
    x = 195,766.36

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.