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Finding the Third Proportional to 75,792 and 159,195

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Solution

The third proportional to 75,792 and 159,195 is: 334,376.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,792 : 159,195 = 159,195 : x
  2. Step 2: Convert to fraction form
    75,792/159,195 = 159,195/x
  3. Step 3: Cross multiply
    75,792x = 159,195 × 159,195
  4. Step 4: Simplify right side
    75,792x = 25,343,048,025
  5. Step 5: Solve for x
    x = 25,343,048,025/75,792
  6. Step 6: Final answer
    x = 334,376.29

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.