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Finding the Third Proportional to 54,599.25 and 82,283.63

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Solution

The third proportional to 54,599.25 and 82,283.63 is: 124,005.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,599.25 : 82,283.63 = 82,283.63 : x
  2. Step 2: Convert to fraction form
    54,599.25/82,283.63 = 82,283.63/x
  3. Step 3: Cross multiply
    54,599.25x = 82,283.63 × 82,283.63
  4. Step 4: Simplify right side
    54,599.25x = 6,770,594,943.14
  5. Step 5: Solve for x
    x = 6,770,594,943.14/54,599.25
  6. Step 6: Final answer
    x = 124,005.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.