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Finding the Third Proportional to 32,512 and 71,108

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Solution

The third proportional to 32,512 and 71,108 is: 155,522.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,512 : 71,108 = 71,108 : x
  2. Step 2: Convert to fraction form
    32,512/71,108 = 71,108/x
  3. Step 3: Cross multiply
    32,512x = 71,108 × 71,108
  4. Step 4: Simplify right side
    32,512x = 5,056,347,664
  5. Step 5: Solve for x
    x = 5,056,347,664/32,512
  6. Step 6: Final answer
    x = 155,522.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.