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Finding the Third Proportional to 71,804 and 147,172

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Solution

The third proportional to 71,804 and 147,172 is: 301,648.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,804 : 147,172 = 147,172 : x
  2. Step 2: Convert to fraction form
    71,804/147,172 = 147,172/x
  3. Step 3: Cross multiply
    71,804x = 147,172 × 147,172
  4. Step 4: Simplify right side
    71,804x = 21,659,597,584
  5. Step 5: Solve for x
    x = 21,659,597,584/71,804
  6. Step 6: Final answer
    x = 301,648.90

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.