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Finding the Third Proportional to 46,884 and 102,567

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Solution

The third proportional to 46,884 and 102,567 is: 224,383.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,884 : 102,567 = 102,567 : x
  2. Step 2: Convert to fraction form
    46,884/102,567 = 102,567/x
  3. Step 3: Cross multiply
    46,884x = 102,567 × 102,567
  4. Step 4: Simplify right side
    46,884x = 10,519,989,489
  5. Step 5: Solve for x
    x = 10,519,989,489/46,884
  6. Step 6: Final answer
    x = 224,383.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.