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Finding the Third Proportional to 55,196.44 and 84,943.69

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Solution

The third proportional to 55,196.44 and 84,943.69 is: 130,722.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,196.44 : 84,943.69 = 84,943.69 : x
  2. Step 2: Convert to fraction form
    55,196.44/84,943.69 = 84,943.69/x
  3. Step 3: Cross multiply
    55,196.44x = 84,943.69 × 84,943.69
  4. Step 4: Simplify right side
    55,196.44x = 7,215,430,046.10
  5. Step 5: Solve for x
    x = 7,215,430,046.10/55,196.44
  6. Step 6: Final answer
    x = 130,722.75

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.