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Finding the Third Proportional to 54,328 and 72,114

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Solution

The third proportional to 54,328 and 72,114 is: 95,722.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,328 : 72,114 = 72,114 : x
  2. Step 2: Convert to fraction form
    54,328/72,114 = 72,114/x
  3. Step 3: Cross multiply
    54,328x = 72,114 × 72,114
  4. Step 4: Simplify right side
    54,328x = 5,200,428,996
  5. Step 5: Solve for x
    x = 5,200,428,996/54,328
  6. Step 6: Final answer
    x = 95,722.81

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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.