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Finding the Third Proportional to 117,375.75 and 176,612.63

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Solution

The third proportional to 117,375.75 and 176,612.63 is: 265,745.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,375.75 : 176,612.63 = 176,612.63 : x
  2. Step 2: Convert to fraction form
    117,375.75/176,612.63 = 176,612.63/x
  3. Step 3: Cross multiply
    117,375.75x = 176,612.63 × 176,612.63
  4. Step 4: Simplify right side
    117,375.75x = 31,192,019,309.39
  5. Step 5: Solve for x
    x = 31,192,019,309.39/117,375.75
  6. Step 6: Final answer
    x = 265,745.01

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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.