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Finding the Third Proportional to 69,457 and 149,268

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Solution

The third proportional to 69,457 and 149,268 is: 320,787.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,457 : 149,268 = 149,268 : x
  2. Step 2: Convert to fraction form
    69,457/149,268 = 149,268/x
  3. Step 3: Cross multiply
    69,457x = 149,268 × 149,268
  4. Step 4: Simplify right side
    69,457x = 22,280,935,824
  5. Step 5: Solve for x
    x = 22,280,935,824/69,457
  6. Step 6: Final answer
    x = 320,787.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.