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Finding the Third Proportional to 49,108 and 74,030

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Solution

The third proportional to 49,108 and 74,030 is: 111,599.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,108 : 74,030 = 74,030 : x
  2. Step 2: Convert to fraction form
    49,108/74,030 = 74,030/x
  3. Step 3: Cross multiply
    49,108x = 74,030 × 74,030
  4. Step 4: Simplify right side
    49,108x = 5,480,440,900
  5. Step 5: Solve for x
    x = 5,480,440,900/49,108
  6. Step 6: Final answer
    x = 111,599.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.