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Finding the Third Proportional to 83,912 and 177,544

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Solution

The third proportional to 83,912 and 177,544 is: 375,653.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,912 : 177,544 = 177,544 : x
  2. Step 2: Convert to fraction form
    83,912/177,544 = 177,544/x
  3. Step 3: Cross multiply
    83,912x = 177,544 × 177,544
  4. Step 4: Simplify right side
    83,912x = 31,521,871,936
  5. Step 5: Solve for x
    x = 31,521,871,936/83,912
  6. Step 6: Final answer
    x = 375,653.92

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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.