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Finding the Third Proportional to 69,669 and 104,661

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Solution

The third proportional to 69,669 and 104,661 is: 157,228.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,669 : 104,661 = 104,661 : x
  2. Step 2: Convert to fraction form
    69,669/104,661 = 104,661/x
  3. Step 3: Cross multiply
    69,669x = 104,661 × 104,661
  4. Step 4: Simplify right side
    69,669x = 10,953,924,921
  5. Step 5: Solve for x
    x = 10,953,924,921/69,669
  6. Step 6: Final answer
    x = 157,228.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.