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Finding the Third Proportional to 51,825 and 106,921.50

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Solution

The third proportional to 51,825 and 106,921.50 is: 220,592.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,825 : 106,921.50 = 106,921.50 : x
  2. Step 2: Convert to fraction form
    51,825/106,921.50 = 106,921.50/x
  3. Step 3: Cross multiply
    51,825x = 106,921.50 × 106,921.50
  4. Step 4: Simplify right side
    51,825x = 11,432,207,162.25
  5. Step 5: Solve for x
    x = 11,432,207,162.25/51,825
  6. Step 6: Final answer
    x = 220,592.52

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.