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Finding the Third Proportional to 69,817 and 150,704

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Solution

The third proportional to 69,817 and 150,704 is: 325,303.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,817 : 150,704 = 150,704 : x
  2. Step 2: Convert to fraction form
    69,817/150,704 = 150,704/x
  3. Step 3: Cross multiply
    69,817x = 150,704 × 150,704
  4. Step 4: Simplify right side
    69,817x = 22,711,695,616
  5. Step 5: Solve for x
    x = 22,711,695,616/69,817
  6. Step 6: Final answer
    x = 325,303.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.