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Finding the Third Proportional to 95,632 and 137,544

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Solution

The third proportional to 95,632 and 137,544 is: 197,824.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,632 : 137,544 = 137,544 : x
  2. Step 2: Convert to fraction form
    95,632/137,544 = 137,544/x
  3. Step 3: Cross multiply
    95,632x = 137,544 × 137,544
  4. Step 4: Simplify right side
    95,632x = 18,918,351,936
  5. Step 5: Solve for x
    x = 18,918,351,936/95,632
  6. Step 6: Final answer
    x = 197,824.49

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.