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Finding the Third Proportional to 51,714 and 115,128

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Solution

The third proportional to 51,714 and 115,128 is: 256,303.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,714 : 115,128 = 115,128 : x
  2. Step 2: Convert to fraction form
    51,714/115,128 = 115,128/x
  3. Step 3: Cross multiply
    51,714x = 115,128 × 115,128
  4. Step 4: Simplify right side
    51,714x = 13,254,456,384
  5. Step 5: Solve for x
    x = 13,254,456,384/51,714
  6. Step 6: Final answer
    x = 256,303.06

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.