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Finding the Third Proportional to 75,052 and 159,208

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Solution

The third proportional to 75,052 and 159,208 is: 337,728.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,052 : 159,208 = 159,208 : x
  2. Step 2: Convert to fraction form
    75,052/159,208 = 159,208/x
  3. Step 3: Cross multiply
    75,052x = 159,208 × 159,208
  4. Step 4: Simplify right side
    75,052x = 25,347,187,264
  5. Step 5: Solve for x
    x = 25,347,187,264/75,052
  6. Step 6: Final answer
    x = 337,728.34

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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.