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Finding the Third Proportional to 25,192 and 52,968

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Solution

The third proportional to 25,192 and 52,968 is: 111,369.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,192 : 52,968 = 52,968 : x
  2. Step 2: Convert to fraction form
    25,192/52,968 = 52,968/x
  3. Step 3: Cross multiply
    25,192x = 52,968 × 52,968
  4. Step 4: Simplify right side
    25,192x = 2,805,609,024
  5. Step 5: Solve for x
    x = 2,805,609,024/25,192
  6. Step 6: Final answer
    x = 111,369.05

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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.