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Finding the Third Proportional to 55,724.63 and 84,653.44

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Solution

The third proportional to 55,724.63 and 84,653.44 is: 128,600.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,724.63 : 84,653.44 = 84,653.44 : x
  2. Step 2: Convert to fraction form
    55,724.63/84,653.44 = 84,653.44/x
  3. Step 3: Cross multiply
    55,724.63x = 84,653.44 × 84,653.44
  4. Step 4: Simplify right side
    55,724.63x = 7,166,204,480.57
  5. Step 5: Solve for x
    x = 7,166,204,480.57/55,724.63
  6. Step 6: Final answer
    x = 128,600.32

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.