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Finding the Third Proportional to 112,761 and 262,209.75

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Solution

The third proportional to 112,761 and 262,209.75 is: 609,731.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,761 : 262,209.75 = 262,209.75 : x
  2. Step 2: Convert to fraction form
    112,761/262,209.75 = 262,209.75/x
  3. Step 3: Cross multiply
    112,761x = 262,209.75 × 262,209.75
  4. Step 4: Simplify right side
    112,761x = 68,753,952,995.06
  5. Step 5: Solve for x
    x = 68,753,952,995.06/112,761
  6. Step 6: Final answer
    x = 609,731.67

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.