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Finding the Third Proportional to 58,452 and 127,812

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Solution

The third proportional to 58,452 and 127,812 is: 279,475.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,452 : 127,812 = 127,812 : x
  2. Step 2: Convert to fraction form
    58,452/127,812 = 127,812/x
  3. Step 3: Cross multiply
    58,452x = 127,812 × 127,812
  4. Step 4: Simplify right side
    58,452x = 16,335,907,344
  5. Step 5: Solve for x
    x = 16,335,907,344/58,452
  6. Step 6: Final answer
    x = 279,475.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.