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Finding the Third Proportional to 62,795 and 87,835

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Solution

The third proportional to 62,795 and 87,835 is: 122,859.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,795 : 87,835 = 87,835 : x
  2. Step 2: Convert to fraction form
    62,795/87,835 = 87,835/x
  3. Step 3: Cross multiply
    62,795x = 87,835 × 87,835
  4. Step 4: Simplify right side
    62,795x = 7,714,987,225
  5. Step 5: Solve for x
    x = 7,714,987,225/62,795
  6. Step 6: Final answer
    x = 122,859.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.