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Finding the Third Proportional to 43,716 and 95,838

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Solution

The third proportional to 43,716 and 95,838 is: 210,104.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,716 : 95,838 = 95,838 : x
  2. Step 2: Convert to fraction form
    43,716/95,838 = 95,838/x
  3. Step 3: Cross multiply
    43,716x = 95,838 × 95,838
  4. Step 4: Simplify right side
    43,716x = 9,184,922,244
  5. Step 5: Solve for x
    x = 9,184,922,244/43,716
  6. Step 6: Final answer
    x = 210,104.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.