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Finding the Third Proportional to 62,452 and 131,431

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Solution

The third proportional to 62,452 and 131,431 is: 276,598.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,452 : 131,431 = 131,431 : x
  2. Step 2: Convert to fraction form
    62,452/131,431 = 131,431/x
  3. Step 3: Cross multiply
    62,452x = 131,431 × 131,431
  4. Step 4: Simplify right side
    62,452x = 17,274,107,761
  5. Step 5: Solve for x
    x = 17,274,107,761/62,452
  6. Step 6: Final answer
    x = 276,598.15

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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.