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Finding the Third Proportional to 69,648 and 106,100

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Solution

The third proportional to 69,648 and 106,100 is: 161,630.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,648 : 106,100 = 106,100 : x
  2. Step 2: Convert to fraction form
    69,648/106,100 = 106,100/x
  3. Step 3: Cross multiply
    69,648x = 106,100 × 106,100
  4. Step 4: Simplify right side
    69,648x = 11,257,210,000
  5. Step 5: Solve for x
    x = 11,257,210,000/69,648
  6. Step 6: Final answer
    x = 161,630.05

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.