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Finding the Third Proportional to 71,158 and 111,622

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Solution

The third proportional to 71,158 and 111,622 is: 175,095.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,158 : 111,622 = 111,622 : x
  2. Step 2: Convert to fraction form
    71,158/111,622 = 111,622/x
  3. Step 3: Cross multiply
    71,158x = 111,622 × 111,622
  4. Step 4: Simplify right side
    71,158x = 12,459,470,884
  5. Step 5: Solve for x
    x = 12,459,470,884/71,158
  6. Step 6: Final answer
    x = 175,095.86

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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.