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Finding the Third Proportional to 69,103.69 and 150,714

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Solution

The third proportional to 69,103.69 and 150,714 is: 328,704.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,103.69 : 150,714 = 150,714 : x
  2. Step 2: Convert to fraction form
    69,103.69/150,714 = 150,714/x
  3. Step 3: Cross multiply
    69,103.69x = 150,714 × 150,714
  4. Step 4: Simplify right side
    69,103.69x = 22,714,709,796
  5. Step 5: Solve for x
    x = 22,714,709,796/69,103.69
  6. Step 6: Final answer
    x = 328,704.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.