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Finding the Third Proportional to 54,007.50 and 74,166

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Solution

The third proportional to 54,007.50 and 74,166 is: 101,848.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,007.50 : 74,166 = 74,166 : x
  2. Step 2: Convert to fraction form
    54,007.50/74,166 = 74,166/x
  3. Step 3: Cross multiply
    54,007.50x = 74,166 × 74,166
  4. Step 4: Simplify right side
    54,007.50x = 5,500,595,556
  5. Step 5: Solve for x
    x = 5,500,595,556/54,007.50
  6. Step 6: Final answer
    x = 101,848.74

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.