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Finding the Third Proportional to 45,544.50 and 71,298

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Solution

The third proportional to 45,544.50 and 71,298 is: 111,614.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,544.50 : 71,298 = 71,298 : x
  2. Step 2: Convert to fraction form
    45,544.50/71,298 = 71,298/x
  3. Step 3: Cross multiply
    45,544.50x = 71,298 × 71,298
  4. Step 4: Simplify right side
    45,544.50x = 5,083,404,804
  5. Step 5: Solve for x
    x = 5,083,404,804/45,544.50
  6. Step 6: Final answer
    x = 111,614.02

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.