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Finding the Third Proportional to 86,286.50 and 176,755

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Solution

The third proportional to 86,286.50 and 176,755 is: 362,076.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,286.50 : 176,755 = 176,755 : x
  2. Step 2: Convert to fraction form
    86,286.50/176,755 = 176,755/x
  3. Step 3: Cross multiply
    86,286.50x = 176,755 × 176,755
  4. Step 4: Simplify right side
    86,286.50x = 31,242,330,025
  5. Step 5: Solve for x
    x = 31,242,330,025/86,286.50
  6. Step 6: Final answer
    x = 362,076.69

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.