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Finding the Third Proportional to 57,956.50 and 122,243.50

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Solution

The third proportional to 57,956.50 and 122,243.50 is: 257,839.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,956.50 : 122,243.50 = 122,243.50 : x
  2. Step 2: Convert to fraction form
    57,956.50/122,243.50 = 122,243.50/x
  3. Step 3: Cross multiply
    57,956.50x = 122,243.50 × 122,243.50
  4. Step 4: Simplify right side
    57,956.50x = 14,943,473,292.25
  5. Step 5: Solve for x
    x = 14,943,473,292.25/57,956.50
  6. Step 6: Final answer
    x = 257,839.47

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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.