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Finding the Third Proportional to 60,256 and 129,827

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Solution

The third proportional to 60,256 and 129,827 is: 279,724.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,256 : 129,827 = 129,827 : x
  2. Step 2: Convert to fraction form
    60,256/129,827 = 129,827/x
  3. Step 3: Cross multiply
    60,256x = 129,827 × 129,827
  4. Step 4: Simplify right side
    60,256x = 16,855,049,929
  5. Step 5: Solve for x
    x = 16,855,049,929/60,256
  6. Step 6: Final answer
    x = 279,724.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.