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Finding the Third Proportional to 51,666 and 102,516

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Solution

The third proportional to 51,666 and 102,516 is: 203,412.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,666 : 102,516 = 102,516 : x
  2. Step 2: Convert to fraction form
    51,666/102,516 = 102,516/x
  3. Step 3: Cross multiply
    51,666x = 102,516 × 102,516
  4. Step 4: Simplify right side
    51,666x = 10,509,530,256
  5. Step 5: Solve for x
    x = 10,509,530,256/51,666
  6. Step 6: Final answer
    x = 203,412.89

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.