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Finding the Third Proportional to 46,826 and 70,167

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Solution

The third proportional to 46,826 and 70,167 is: 105,142.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,826 : 70,167 = 70,167 : x
  2. Step 2: Convert to fraction form
    46,826/70,167 = 70,167/x
  3. Step 3: Cross multiply
    46,826x = 70,167 × 70,167
  4. Step 4: Simplify right side
    46,826x = 4,923,407,889
  5. Step 5: Solve for x
    x = 4,923,407,889/46,826
  6. Step 6: Final answer
    x = 105,142.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.