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Finding the Third Proportional to 77,856 and 175,935

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Solution

The third proportional to 77,856 and 175,935 is: 397,568.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,856 : 175,935 = 175,935 : x
  2. Step 2: Convert to fraction form
    77,856/175,935 = 175,935/x
  3. Step 3: Cross multiply
    77,856x = 175,935 × 175,935
  4. Step 4: Simplify right side
    77,856x = 30,953,124,225
  5. Step 5: Solve for x
    x = 30,953,124,225/77,856
  6. Step 6: Final answer
    x = 397,568.90

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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.