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Finding the Third Proportional to 56,076.75 and 84,177

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Solution

The third proportional to 56,076.75 and 84,177 is: 126,358.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,076.75 : 84,177 = 84,177 : x
  2. Step 2: Convert to fraction form
    56,076.75/84,177 = 84,177/x
  3. Step 3: Cross multiply
    56,076.75x = 84,177 × 84,177
  4. Step 4: Simplify right side
    56,076.75x = 7,085,767,329
  5. Step 5: Solve for x
    x = 7,085,767,329/56,076.75
  6. Step 6: Final answer
    x = 126,358.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.