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Finding the Third Proportional to 77,860 and 175,945

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Solution

The third proportional to 77,860 and 175,945 is: 397,593.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,860 : 175,945 = 175,945 : x
  2. Step 2: Convert to fraction form
    77,860/175,945 = 175,945/x
  3. Step 3: Cross multiply
    77,860x = 175,945 × 175,945
  4. Step 4: Simplify right side
    77,860x = 30,956,643,025
  5. Step 5: Solve for x
    x = 30,956,643,025/77,860
  6. Step 6: Final answer
    x = 397,593.67

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.