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Finding the Third Proportional to 45,268 and 69,074

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Solution

The third proportional to 45,268 and 69,074 is: 105,399.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,268 : 69,074 = 69,074 : x
  2. Step 2: Convert to fraction form
    45,268/69,074 = 69,074/x
  3. Step 3: Cross multiply
    45,268x = 69,074 × 69,074
  4. Step 4: Simplify right side
    45,268x = 4,771,217,476
  5. Step 5: Solve for x
    x = 4,771,217,476/45,268
  6. Step 6: Final answer
    x = 105,399.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.