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Finding the Third Proportional to 48,020 and 104,650

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Solution

The third proportional to 48,020 and 104,650 is: 228,063.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,020 : 104,650 = 104,650 : x
  2. Step 2: Convert to fraction form
    48,020/104,650 = 104,650/x
  3. Step 3: Cross multiply
    48,020x = 104,650 × 104,650
  4. Step 4: Simplify right side
    48,020x = 10,951,622,500
  5. Step 5: Solve for x
    x = 10,951,622,500/48,020
  6. Step 6: Final answer
    x = 228,063.78

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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.