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Finding the Third Proportional to 70,442 and 146,698

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Solution

The third proportional to 70,442 and 146,698 is: 305,503.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,442 : 146,698 = 146,698 : x
  2. Step 2: Convert to fraction form
    70,442/146,698 = 146,698/x
  3. Step 3: Cross multiply
    70,442x = 146,698 × 146,698
  4. Step 4: Simplify right side
    70,442x = 21,520,303,204
  5. Step 5: Solve for x
    x = 21,520,303,204/70,442
  6. Step 6: Final answer
    x = 305,503.86

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.