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Finding the Third Proportional to 46,814 and 102,652

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Solution

The third proportional to 46,814 and 102,652 is: 225,091.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,814 : 102,652 = 102,652 : x
  2. Step 2: Convert to fraction form
    46,814/102,652 = 102,652/x
  3. Step 3: Cross multiply
    46,814x = 102,652 × 102,652
  4. Step 4: Simplify right side
    46,814x = 10,537,433,104
  5. Step 5: Solve for x
    x = 10,537,433,104/46,814
  6. Step 6: Final answer
    x = 225,091.49

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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.