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Finding the Third Proportional to 57,103 and 122,955

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Solution

The third proportional to 57,103 and 122,955 is: 264,748.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,103 : 122,955 = 122,955 : x
  2. Step 2: Convert to fraction form
    57,103/122,955 = 122,955/x
  3. Step 3: Cross multiply
    57,103x = 122,955 × 122,955
  4. Step 4: Simplify right side
    57,103x = 15,117,932,025
  5. Step 5: Solve for x
    x = 15,117,932,025/57,103
  6. Step 6: Final answer
    x = 264,748.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.