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Finding the Third Proportional to 51,934.75 and 114,768.50

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Solution

The third proportional to 51,934.75 and 114,768.50 is: 253,622.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,934.75 : 114,768.50 = 114,768.50 : x
  2. Step 2: Convert to fraction form
    51,934.75/114,768.50 = 114,768.50/x
  3. Step 3: Cross multiply
    51,934.75x = 114,768.50 × 114,768.50
  4. Step 4: Simplify right side
    51,934.75x = 13,171,808,592.25
  5. Step 5: Solve for x
    x = 13,171,808,592.25/51,934.75
  6. Step 6: Final answer
    x = 253,622.26

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.