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Finding the Third Proportional to 56,327.06 and 114,208.31

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Solution

The third proportional to 56,327.06 and 114,208.31 is: 231,567.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,327.06 : 114,208.31 = 114,208.31 : x
  2. Step 2: Convert to fraction form
    56,327.06/114,208.31 = 114,208.31/x
  3. Step 3: Cross multiply
    56,327.06x = 114,208.31 × 114,208.31
  4. Step 4: Simplify right side
    56,327.06x = 13,043,538,644.10
  5. Step 5: Solve for x
    x = 13,043,538,644.10/56,327.06
  6. Step 6: Final answer
    x = 231,567.88

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.