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Finding the Third Proportional to 69,394 and 148,626

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Solution

The third proportional to 69,394 and 148,626 is: 318,322.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,394 : 148,626 = 148,626 : x
  2. Step 2: Convert to fraction form
    69,394/148,626 = 148,626/x
  3. Step 3: Cross multiply
    69,394x = 148,626 × 148,626
  4. Step 4: Simplify right side
    69,394x = 22,089,687,876
  5. Step 5: Solve for x
    x = 22,089,687,876/69,394
  6. Step 6: Final answer
    x = 318,322.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.