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Finding the Third Proportional to 46,811 and 70,144

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Solution

The third proportional to 46,811 and 70,144 is: 105,107.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,811 : 70,144 = 70,144 : x
  2. Step 2: Convert to fraction form
    46,811/70,144 = 70,144/x
  3. Step 3: Cross multiply
    46,811x = 70,144 × 70,144
  4. Step 4: Simplify right side
    46,811x = 4,920,180,736
  5. Step 5: Solve for x
    x = 4,920,180,736/46,811
  6. Step 6: Final answer
    x = 105,107.36

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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.