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Finding the Third Proportional to 32,000 and 71,103

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Solution

The third proportional to 32,000 and 71,103 is: 157,988.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,000 : 71,103 = 71,103 : x
  2. Step 2: Convert to fraction form
    32,000/71,103 = 71,103/x
  3. Step 3: Cross multiply
    32,000x = 71,103 × 71,103
  4. Step 4: Simplify right side
    32,000x = 5,055,636,609
  5. Step 5: Solve for x
    x = 5,055,636,609/32,000
  6. Step 6: Final answer
    x = 157,988.64

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.