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Finding the Third Proportional to 54,189.50 and 71,922

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Solution

The third proportional to 54,189.50 and 71,922 is: 95,457.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,189.50 : 71,922 = 71,922 : x
  2. Step 2: Convert to fraction form
    54,189.50/71,922 = 71,922/x
  3. Step 3: Cross multiply
    54,189.50x = 71,922 × 71,922
  4. Step 4: Simplify right side
    54,189.50x = 5,172,774,084
  5. Step 5: Solve for x
    x = 5,172,774,084/54,189.50
  6. Step 6: Final answer
    x = 95,457.13

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.