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Finding the Third Proportional to 51,880.50 and 114,178.50

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Solution

The third proportional to 51,880.50 and 114,178.50 is: 251,283.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,880.50 : 114,178.50 = 114,178.50 : x
  2. Step 2: Convert to fraction form
    51,880.50/114,178.50 = 114,178.50/x
  3. Step 3: Cross multiply
    51,880.50x = 114,178.50 × 114,178.50
  4. Step 4: Simplify right side
    51,880.50x = 13,036,729,862.25
  5. Step 5: Solve for x
    x = 13,036,729,862.25/51,880.50
  6. Step 6: Final answer
    x = 251,283.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.