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Finding the Third Proportional to 54,735.89 and 82,495.34

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Solution

The third proportional to 54,735.89 and 82,495.34 is: 124,333.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,735.89 : 82,495.34 = 82,495.34 : x
  2. Step 2: Convert to fraction form
    54,735.89/82,495.34 = 82,495.34/x
  3. Step 3: Cross multiply
    54,735.89x = 82,495.34 × 82,495.34
  4. Step 4: Simplify right side
    54,735.89x = 6,805,480,451.44
  5. Step 5: Solve for x
    x = 6,805,480,451.44/54,735.89
  6. Step 6: Final answer
    x = 124,333.05

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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.