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Finding the Third Proportional to 71,152 and 100,110

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Solution

The third proportional to 71,152 and 100,110 is: 140,853.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,152 : 100,110 = 100,110 : x
  2. Step 2: Convert to fraction form
    71,152/100,110 = 100,110/x
  3. Step 3: Cross multiply
    71,152x = 100,110 × 100,110
  4. Step 4: Simplify right side
    71,152x = 10,022,012,100
  5. Step 5: Solve for x
    x = 10,022,012,100/71,152
  6. Step 6: Final answer
    x = 140,853.55

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.