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Finding the Third Proportional to 54,173 and 71,900

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Solution

The third proportional to 54,173 and 71,900 is: 95,427.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,173 : 71,900 = 71,900 : x
  2. Step 2: Convert to fraction form
    54,173/71,900 = 71,900/x
  3. Step 3: Cross multiply
    54,173x = 71,900 × 71,900
  4. Step 4: Simplify right side
    54,173x = 5,169,610,000
  5. Step 5: Solve for x
    x = 5,169,610,000/54,173
  6. Step 6: Final answer
    x = 95,427.80

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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.