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Finding the Third Proportional to 51,848.50 and 106,921

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Solution

The third proportional to 51,848.50 and 106,921 is: 220,490.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,848.50 : 106,921 = 106,921 : x
  2. Step 2: Convert to fraction form
    51,848.50/106,921 = 106,921/x
  3. Step 3: Cross multiply
    51,848.50x = 106,921 × 106,921
  4. Step 4: Simplify right side
    51,848.50x = 11,432,100,241
  5. Step 5: Solve for x
    x = 11,432,100,241/51,848.50
  6. Step 6: Final answer
    x = 220,490.47

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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.