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Finding the Third Proportional to 51,907.50 and 110,273.06

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Solution

The third proportional to 51,907.50 and 110,273.06 is: 234,265.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,907.50 : 110,273.06 = 110,273.06 : x
  2. Step 2: Convert to fraction form
    51,907.50/110,273.06 = 110,273.06/x
  3. Step 3: Cross multiply
    51,907.50x = 110,273.06 × 110,273.06
  4. Step 4: Simplify right side
    51,907.50x = 12,160,148,313.13
  5. Step 5: Solve for x
    x = 12,160,148,313.13/51,907.50
  6. Step 6: Final answer
    x = 234,265.73

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.