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Finding the Third Proportional to 69,026 and 150,974

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Solution

The third proportional to 69,026 and 150,974 is: 330,211.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,026 : 150,974 = 150,974 : x
  2. Step 2: Convert to fraction form
    69,026/150,974 = 150,974/x
  3. Step 3: Cross multiply
    69,026x = 150,974 × 150,974
  4. Step 4: Simplify right side
    69,026x = 22,793,148,676
  5. Step 5: Solve for x
    x = 22,793,148,676/69,026
  6. Step 6: Final answer
    x = 330,211.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.