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Finding the Third Proportional to 129,036 and 263,256

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Solution

The third proportional to 129,036 and 263,256 is: 537,088.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,036 : 263,256 = 263,256 : x
  2. Step 2: Convert to fraction form
    129,036/263,256 = 263,256/x
  3. Step 3: Cross multiply
    129,036x = 263,256 × 263,256
  4. Step 4: Simplify right side
    129,036x = 69,303,721,536
  5. Step 5: Solve for x
    x = 69,303,721,536/129,036
  6. Step 6: Final answer
    x = 537,088.27

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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.