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Finding the Third Proportional to 69,365 and 104,777

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Solution

The third proportional to 69,365 and 104,777 is: 158,267.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,365 : 104,777 = 104,777 : x
  2. Step 2: Convert to fraction form
    69,365/104,777 = 104,777/x
  3. Step 3: Cross multiply
    69,365x = 104,777 × 104,777
  4. Step 4: Simplify right side
    69,365x = 10,978,219,729
  5. Step 5: Solve for x
    x = 10,978,219,729/69,365
  6. Step 6: Final answer
    x = 158,267.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.