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Finding the Third Proportional to 54,615 and 82,308

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Solution

The third proportional to 54,615 and 82,308 is: 124,042.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,615 : 82,308 = 82,308 : x
  2. Step 2: Convert to fraction form
    54,615/82,308 = 82,308/x
  3. Step 3: Cross multiply
    54,615x = 82,308 × 82,308
  4. Step 4: Simplify right side
    54,615x = 6,774,606,864
  5. Step 5: Solve for x
    x = 6,774,606,864/54,615
  6. Step 6: Final answer
    x = 124,042.97

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