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Finding the Third Proportional to 57,538 and 134,497

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Solution

The third proportional to 57,538 and 134,497 is: 314,391.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,538 : 134,497 = 134,497 : x
  2. Step 2: Convert to fraction form
    57,538/134,497 = 134,497/x
  3. Step 3: Cross multiply
    57,538x = 134,497 × 134,497
  4. Step 4: Simplify right side
    57,538x = 18,089,443,009
  5. Step 5: Solve for x
    x = 18,089,443,009/57,538
  6. Step 6: Final answer
    x = 314,391.24

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.