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Finding the Third Proportional to 51,165 and 104,865

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Solution

The third proportional to 51,165 and 104,865 is: 214,925.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,165 : 104,865 = 104,865 : x
  2. Step 2: Convert to fraction form
    51,165/104,865 = 104,865/x
  3. Step 3: Cross multiply
    51,165x = 104,865 × 104,865
  4. Step 4: Simplify right side
    51,165x = 10,996,668,225
  5. Step 5: Solve for x
    x = 10,996,668,225/51,165
  6. Step 6: Final answer
    x = 214,925.60

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.