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Finding the Third Proportional to 57,960 and 122,146.88

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Solution

The third proportional to 57,960 and 122,146.88 is: 257,416.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,960 : 122,146.88 = 122,146.88 : x
  2. Step 2: Convert to fraction form
    57,960/122,146.88 = 122,146.88/x
  3. Step 3: Cross multiply
    57,960x = 122,146.88 × 122,146.88
  4. Step 4: Simplify right side
    57,960x = 14,919,859,072.27
  5. Step 5: Solve for x
    x = 14,919,859,072.27/57,960
  6. Step 6: Final answer
    x = 257,416.48

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.