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Finding the Third Proportional to 54,956 and 72,590

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Solution

The third proportional to 54,956 and 72,590 is: 95,882.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,956 : 72,590 = 72,590 : x
  2. Step 2: Convert to fraction form
    54,956/72,590 = 72,590/x
  3. Step 3: Cross multiply
    54,956x = 72,590 × 72,590
  4. Step 4: Simplify right side
    54,956x = 5,269,308,100
  5. Step 5: Solve for x
    x = 5,269,308,100/54,956
  6. Step 6: Final answer
    x = 95,882.31

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.