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Finding the Third Proportional to 46,796 and 70,171

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Solution

The third proportional to 46,796 and 70,171 is: 105,222.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,796 : 70,171 = 70,171 : x
  2. Step 2: Convert to fraction form
    46,796/70,171 = 70,171/x
  3. Step 3: Cross multiply
    46,796x = 70,171 × 70,171
  4. Step 4: Simplify right side
    46,796x = 4,923,969,241
  5. Step 5: Solve for x
    x = 4,923,969,241/46,796
  6. Step 6: Final answer
    x = 105,222.01

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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.