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Finding the Third Proportional to 74,098 and 159,780

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Solution

The third proportional to 74,098 and 159,780 is: 344,538.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,098 : 159,780 = 159,780 : x
  2. Step 2: Convert to fraction form
    74,098/159,780 = 159,780/x
  3. Step 3: Cross multiply
    74,098x = 159,780 × 159,780
  4. Step 4: Simplify right side
    74,098x = 25,529,648,400
  5. Step 5: Solve for x
    x = 25,529,648,400/74,098
  6. Step 6: Final answer
    x = 344,538.97

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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.