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Finding the Third Proportional to 56,714 and 115,732

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Solution

The third proportional to 56,714 and 115,732 is: 236,165.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,714 : 115,732 = 115,732 : x
  2. Step 2: Convert to fraction form
    56,714/115,732 = 115,732/x
  3. Step 3: Cross multiply
    56,714x = 115,732 × 115,732
  4. Step 4: Simplify right side
    56,714x = 13,393,895,824
  5. Step 5: Solve for x
    x = 13,393,895,824/56,714
  6. Step 6: Final answer
    x = 236,165.60

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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.