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Finding the Third Proportional to 54,692 and 71,814

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Solution

The third proportional to 54,692 and 71,814 is: 94,296.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,692 : 71,814 = 71,814 : x
  2. Step 2: Convert to fraction form
    54,692/71,814 = 71,814/x
  3. Step 3: Cross multiply
    54,692x = 71,814 × 71,814
  4. Step 4: Simplify right side
    54,692x = 5,157,250,596
  5. Step 5: Solve for x
    x = 5,157,250,596/54,692
  6. Step 6: Final answer
    x = 94,296.25

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.