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Finding the Third Proportional to 51,870 and 110,652

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Solution

The third proportional to 51,870 and 110,652 is: 236,049.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,870 : 110,652 = 110,652 : x
  2. Step 2: Convert to fraction form
    51,870/110,652 = 110,652/x
  3. Step 3: Cross multiply
    51,870x = 110,652 × 110,652
  4. Step 4: Simplify right side
    51,870x = 12,243,865,104
  5. Step 5: Solve for x
    x = 12,243,865,104/51,870
  6. Step 6: Final answer
    x = 236,049.07

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.