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Finding the Third Proportional to 43,318 and 94,736

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Solution

The third proportional to 43,318 and 94,736 is: 207,186.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,318 : 94,736 = 94,736 : x
  2. Step 2: Convert to fraction form
    43,318/94,736 = 94,736/x
  3. Step 3: Cross multiply
    43,318x = 94,736 × 94,736
  4. Step 4: Simplify right side
    43,318x = 8,974,909,696
  5. Step 5: Solve for x
    x = 8,974,909,696/43,318
  6. Step 6: Final answer
    x = 207,186.61

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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.