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Finding the Third Proportional to 32,300 and 68,515

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Solution

The third proportional to 32,300 and 68,515 is: 145,334.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,300 : 68,515 = 68,515 : x
  2. Step 2: Convert to fraction form
    32,300/68,515 = 68,515/x
  3. Step 3: Cross multiply
    32,300x = 68,515 × 68,515
  4. Step 4: Simplify right side
    32,300x = 4,694,305,225
  5. Step 5: Solve for x
    x = 4,694,305,225/32,300
  6. Step 6: Final answer
    x = 145,334.53

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.