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Finding the Third Proportional to 74,096 and 159,774

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Solution

The third proportional to 74,096 and 159,774 is: 344,522.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,096 : 159,774 = 159,774 : x
  2. Step 2: Convert to fraction form
    74,096/159,774 = 159,774/x
  3. Step 3: Cross multiply
    74,096x = 159,774 × 159,774
  4. Step 4: Simplify right side
    74,096x = 25,527,731,076
  5. Step 5: Solve for x
    x = 25,527,731,076/74,096
  6. Step 6: Final answer
    x = 344,522.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.