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Finding the Third Proportional to 102,714 and 225,036

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Solution

The third proportional to 102,714 and 225,036 is: 493,031.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,714 : 225,036 = 225,036 : x
  2. Step 2: Convert to fraction form
    102,714/225,036 = 225,036/x
  3. Step 3: Cross multiply
    102,714x = 225,036 × 225,036
  4. Step 4: Simplify right side
    102,714x = 50,641,201,296
  5. Step 5: Solve for x
    x = 50,641,201,296/102,714
  6. Step 6: Final answer
    x = 493,031.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.