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Finding the Third Proportional to 64,765 and 86,084

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Solution

The third proportional to 64,765 and 86,084 is: 114,420.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,765 : 86,084 = 86,084 : x
  2. Step 2: Convert to fraction form
    64,765/86,084 = 86,084/x
  3. Step 3: Cross multiply
    64,765x = 86,084 × 86,084
  4. Step 4: Simplify right side
    64,765x = 7,410,455,056
  5. Step 5: Solve for x
    x = 7,410,455,056/64,765
  6. Step 6: Final answer
    x = 114,420.68

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.