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Finding the Third Proportional to 25,136 and 52,860

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Solution

The third proportional to 25,136 and 52,860 is: 111,162.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,136 : 52,860 = 52,860 : x
  2. Step 2: Convert to fraction form
    25,136/52,860 = 52,860/x
  3. Step 3: Cross multiply
    25,136x = 52,860 × 52,860
  4. Step 4: Simplify right side
    25,136x = 2,794,179,600
  5. Step 5: Solve for x
    x = 2,794,179,600/25,136
  6. Step 6: Final answer
    x = 111,162.46

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.