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Finding the Third Proportional to 49,096 and 104,030

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Solution

The third proportional to 49,096 and 104,030 is: 220,430.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,096 : 104,030 = 104,030 : x
  2. Step 2: Convert to fraction form
    49,096/104,030 = 104,030/x
  3. Step 3: Cross multiply
    49,096x = 104,030 × 104,030
  4. Step 4: Simplify right side
    49,096x = 10,822,240,900
  5. Step 5: Solve for x
    x = 10,822,240,900/49,096
  6. Step 6: Final answer
    x = 220,430.20

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.