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Finding the Third Proportional to 51,936.75 and 122,534.25

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Solution

The third proportional to 51,936.75 and 122,534.25 is: 289,094.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,936.75 : 122,534.25 = 122,534.25 : x
  2. Step 2: Convert to fraction form
    51,936.75/122,534.25 = 122,534.25/x
  3. Step 3: Cross multiply
    51,936.75x = 122,534.25 × 122,534.25
  4. Step 4: Simplify right side
    51,936.75x = 15,014,642,423.06
  5. Step 5: Solve for x
    x = 15,014,642,423.06/51,936.75
  6. Step 6: Final answer
    x = 289,094.76

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.