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Finding the Third Proportional to 75,632 and 160,828

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Solution

The third proportional to 75,632 and 160,828 is: 341,993.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,632 : 160,828 = 160,828 : x
  2. Step 2: Convert to fraction form
    75,632/160,828 = 160,828/x
  3. Step 3: Cross multiply
    75,632x = 160,828 × 160,828
  4. Step 4: Simplify right side
    75,632x = 25,865,645,584
  5. Step 5: Solve for x
    x = 25,865,645,584/75,632
  6. Step 6: Final answer
    x = 341,993.41

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.