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Finding the Third Proportional to 74,900 and 159,034

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Solution

The third proportional to 74,900 and 159,034 is: 337,674.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,900 : 159,034 = 159,034 : x
  2. Step 2: Convert to fraction form
    74,900/159,034 = 159,034/x
  3. Step 3: Cross multiply
    74,900x = 159,034 × 159,034
  4. Step 4: Simplify right side
    74,900x = 25,291,813,156
  5. Step 5: Solve for x
    x = 25,291,813,156/74,900
  6. Step 6: Final answer
    x = 337,674.41

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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.