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Finding the Third Proportional to 25,096 and 54,567

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Solution

The third proportional to 25,096 and 54,567 is: 118,646.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,096 : 54,567 = 54,567 : x
  2. Step 2: Convert to fraction form
    25,096/54,567 = 54,567/x
  3. Step 3: Cross multiply
    25,096x = 54,567 × 54,567
  4. Step 4: Simplify right side
    25,096x = 2,977,557,489
  5. Step 5: Solve for x
    x = 2,977,557,489/25,096
  6. Step 6: Final answer
    x = 118,646.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.