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Finding the Third Proportional to 62,596 and 86,086

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Solution

The third proportional to 62,596 and 86,086 is: 118,390.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,596 : 86,086 = 86,086 : x
  2. Step 2: Convert to fraction form
    62,596/86,086 = 86,086/x
  3. Step 3: Cross multiply
    62,596x = 86,086 × 86,086
  4. Step 4: Simplify right side
    62,596x = 7,410,799,396
  5. Step 5: Solve for x
    x = 7,410,799,396/62,596
  6. Step 6: Final answer
    x = 118,390.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.