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Finding the Third Proportional to 31,282 and 65,152

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Solution

The third proportional to 31,282 and 65,152 is: 135,694.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,282 : 65,152 = 65,152 : x
  2. Step 2: Convert to fraction form
    31,282/65,152 = 65,152/x
  3. Step 3: Cross multiply
    31,282x = 65,152 × 65,152
  4. Step 4: Simplify right side
    31,282x = 4,244,783,104
  5. Step 5: Solve for x
    x = 4,244,783,104/31,282
  6. Step 6: Final answer
    x = 135,694.11

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.