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Finding the Third Proportional to 43,835 and 94,240

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Solution

The third proportional to 43,835 and 94,240 is: 202,604.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,835 : 94,240 = 94,240 : x
  2. Step 2: Convert to fraction form
    43,835/94,240 = 94,240/x
  3. Step 3: Cross multiply
    43,835x = 94,240 × 94,240
  4. Step 4: Simplify right side
    43,835x = 8,881,177,600
  5. Step 5: Solve for x
    x = 8,881,177,600/43,835
  6. Step 6: Final answer
    x = 202,604.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.