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Finding the Third Proportional to 71,208 and 111,700

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Solution

The third proportional to 71,208 and 111,700 is: 175,217.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,208 : 111,700 = 111,700 : x
  2. Step 2: Convert to fraction form
    71,208/111,700 = 111,700/x
  3. Step 3: Cross multiply
    71,208x = 111,700 × 111,700
  4. Step 4: Simplify right side
    71,208x = 12,476,890,000
  5. Step 5: Solve for x
    x = 12,476,890,000/71,208
  6. Step 6: Final answer
    x = 175,217.53

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.