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Finding the Third Proportional to 96,144 and 131,902

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Solution

The third proportional to 96,144 and 131,902 is: 180,959.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,144 : 131,902 = 131,902 : x
  2. Step 2: Convert to fraction form
    96,144/131,902 = 131,902/x
  3. Step 3: Cross multiply
    96,144x = 131,902 × 131,902
  4. Step 4: Simplify right side
    96,144x = 17,398,137,604
  5. Step 5: Solve for x
    x = 17,398,137,604/96,144
  6. Step 6: Final answer
    x = 180,959.16

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.