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Finding the Third Proportional to 46,734 and 105,171

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Solution

The third proportional to 46,734 and 105,171 is: 236,678.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,734 : 105,171 = 105,171 : x
  2. Step 2: Convert to fraction form
    46,734/105,171 = 105,171/x
  3. Step 3: Cross multiply
    46,734x = 105,171 × 105,171
  4. Step 4: Simplify right side
    46,734x = 11,060,939,241
  5. Step 5: Solve for x
    x = 11,060,939,241/46,734
  6. Step 6: Final answer
    x = 236,678.63

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.