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Finding the Third Proportional to 69,104 and 105,657

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Solution

The third proportional to 69,104 and 105,657 is: 161,544.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,104 : 105,657 = 105,657 : x
  2. Step 2: Convert to fraction form
    69,104/105,657 = 105,657/x
  3. Step 3: Cross multiply
    69,104x = 105,657 × 105,657
  4. Step 4: Simplify right side
    69,104x = 11,163,401,649
  5. Step 5: Solve for x
    x = 11,163,401,649/69,104
  6. Step 6: Final answer
    x = 161,544.94

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.