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Finding the Third Proportional to 46,786 and 102,652

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Solution

The third proportional to 46,786 and 102,652 is: 225,226.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,786 : 102,652 = 102,652 : x
  2. Step 2: Convert to fraction form
    46,786/102,652 = 102,652/x
  3. Step 3: Cross multiply
    46,786x = 102,652 × 102,652
  4. Step 4: Simplify right side
    46,786x = 10,537,433,104
  5. Step 5: Solve for x
    x = 10,537,433,104/46,786
  6. Step 6: Final answer
    x = 225,226.20

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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.