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Finding the Third Proportional to 34,329 and 80,202

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Solution

The third proportional to 34,329 and 80,202 is: 187,373.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,329 : 80,202 = 80,202 : x
  2. Step 2: Convert to fraction form
    34,329/80,202 = 80,202/x
  3. Step 3: Cross multiply
    34,329x = 80,202 × 80,202
  4. Step 4: Simplify right side
    34,329x = 6,432,360,804
  5. Step 5: Solve for x
    x = 6,432,360,804/34,329
  6. Step 6: Final answer
    x = 187,373.96

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.