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Finding the Third Proportional to 75,416.50 and 158,177

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Solution

The third proportional to 75,416.50 and 158,177 is: 331,757.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,416.50 : 158,177 = 158,177 : x
  2. Step 2: Convert to fraction form
    75,416.50/158,177 = 158,177/x
  3. Step 3: Cross multiply
    75,416.50x = 158,177 × 158,177
  4. Step 4: Simplify right side
    75,416.50x = 25,019,963,329
  5. Step 5: Solve for x
    x = 25,019,963,329/75,416.50
  6. Step 6: Final answer
    x = 331,757.15

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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.