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Finding the Third Proportional to 43,956 and 97,758

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Solution

The third proportional to 43,956 and 97,758 is: 217,413.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,956 : 97,758 = 97,758 : x
  2. Step 2: Convert to fraction form
    43,956/97,758 = 97,758/x
  3. Step 3: Cross multiply
    43,956x = 97,758 × 97,758
  4. Step 4: Simplify right side
    43,956x = 9,556,626,564
  5. Step 5: Solve for x
    x = 9,556,626,564/43,956
  6. Step 6: Final answer
    x = 217,413.47

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.