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Finding the Third Proportional to 71,172 and 109,170

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Solution

The third proportional to 71,172 and 109,170 is: 167,454.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,172 : 109,170 = 109,170 : x
  2. Step 2: Convert to fraction form
    71,172/109,170 = 109,170/x
  3. Step 3: Cross multiply
    71,172x = 109,170 × 109,170
  4. Step 4: Simplify right side
    71,172x = 11,918,088,900
  5. Step 5: Solve for x
    x = 11,918,088,900/71,172
  6. Step 6: Final answer
    x = 167,454.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.