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Finding the Third Proportional to 70,380 and 143,621

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Solution

The third proportional to 70,380 and 143,621 is: 293,080.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,380 : 143,621 = 143,621 : x
  2. Step 2: Convert to fraction form
    70,380/143,621 = 143,621/x
  3. Step 3: Cross multiply
    70,380x = 143,621 × 143,621
  4. Step 4: Simplify right side
    70,380x = 20,626,991,641
  5. Step 5: Solve for x
    x = 20,626,991,641/70,380
  6. Step 6: Final answer
    x = 293,080.30

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.