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Finding the Third Proportional to 49,680 and 104,490

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Solution

The third proportional to 49,680 and 104,490 is: 219,769.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,680 : 104,490 = 104,490 : x
  2. Step 2: Convert to fraction form
    49,680/104,490 = 104,490/x
  3. Step 3: Cross multiply
    49,680x = 104,490 × 104,490
  4. Step 4: Simplify right side
    49,680x = 10,918,160,100
  5. Step 5: Solve for x
    x = 10,918,160,100/49,680
  6. Step 6: Final answer
    x = 219,769.73

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.