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Finding the Third Proportional to 129,714 and 276,168

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Solution

The third proportional to 129,714 and 276,168 is: 587,976.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,714 : 276,168 = 276,168 : x
  2. Step 2: Convert to fraction form
    129,714/276,168 = 276,168/x
  3. Step 3: Cross multiply
    129,714x = 276,168 × 276,168
  4. Step 4: Simplify right side
    129,714x = 76,268,764,224
  5. Step 5: Solve for x
    x = 76,268,764,224/129,714
  6. Step 6: Final answer
    x = 587,976.35

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.