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Finding the Third Proportional to 32,900 and 79,556

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Solution

The third proportional to 32,900 and 79,556 is: 192,375.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,900 : 79,556 = 79,556 : x
  2. Step 2: Convert to fraction form
    32,900/79,556 = 79,556/x
  3. Step 3: Cross multiply
    32,900x = 79,556 × 79,556
  4. Step 4: Simplify right side
    32,900x = 6,329,157,136
  5. Step 5: Solve for x
    x = 6,329,157,136/32,900
  6. Step 6: Final answer
    x = 192,375.60

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.