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Finding the Third Proportional to 46,780 and 102,025

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Solution

The third proportional to 46,780 and 102,025 is: 222,511.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,780 : 102,025 = 102,025 : x
  2. Step 2: Convert to fraction form
    46,780/102,025 = 102,025/x
  3. Step 3: Cross multiply
    46,780x = 102,025 × 102,025
  4. Step 4: Simplify right side
    46,780x = 10,409,100,625
  5. Step 5: Solve for x
    x = 10,409,100,625/46,780
  6. Step 6: Final answer
    x = 222,511.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.