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Finding the Third Proportional to 55,429.31 and 125,656.31

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Solution

The third proportional to 55,429.31 and 125,656.31 is: 284,858.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,429.31 : 125,656.31 = 125,656.31 : x
  2. Step 2: Convert to fraction form
    55,429.31/125,656.31 = 125,656.31/x
  3. Step 3: Cross multiply
    55,429.31x = 125,656.31 × 125,656.31
  4. Step 4: Simplify right side
    55,429.31x = 15,789,508,871.10
  5. Step 5: Solve for x
    x = 15,789,508,871.10/55,429.31
  6. Step 6: Final answer
    x = 284,858.46

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.