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Finding the Third Proportional to 69,881 and 150,827

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Solution

The third proportional to 69,881 and 150,827 is: 325,536.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,881 : 150,827 = 150,827 : x
  2. Step 2: Convert to fraction form
    69,881/150,827 = 150,827/x
  3. Step 3: Cross multiply
    69,881x = 150,827 × 150,827
  4. Step 4: Simplify right side
    69,881x = 22,748,783,929
  5. Step 5: Solve for x
    x = 22,748,783,929/69,881
  6. Step 6: Final answer
    x = 325,536.04

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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.