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Finding the Third Proportional to 55,424.25 and 108,384.75

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Solution

The third proportional to 55,424.25 and 108,384.75 is: 211,951.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,424.25 : 108,384.75 = 108,384.75 : x
  2. Step 2: Convert to fraction form
    55,424.25/108,384.75 = 108,384.75/x
  3. Step 3: Cross multiply
    55,424.25x = 108,384.75 × 108,384.75
  4. Step 4: Simplify right side
    55,424.25x = 11,747,254,032.56
  5. Step 5: Solve for x
    x = 11,747,254,032.56/55,424.25
  6. Step 6: Final answer
    x = 211,951.52

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Why These Related Problems?

These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.