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Finding the Third Proportional to 57,344 and 122,464

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Solution

The third proportional to 57,344 and 122,464 is: 261,534.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,344 : 122,464 = 122,464 : x
  2. Step 2: Convert to fraction form
    57,344/122,464 = 122,464/x
  3. Step 3: Cross multiply
    57,344x = 122,464 × 122,464
  4. Step 4: Simplify right side
    57,344x = 14,997,431,296
  5. Step 5: Solve for x
    x = 14,997,431,296/57,344
  6. Step 6: Final answer
    x = 261,534.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.