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Finding the Third Proportional to 71,450 and 105,110

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Solution

The third proportional to 71,450 and 105,110 is: 154,627.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,450 : 105,110 = 105,110 : x
  2. Step 2: Convert to fraction form
    71,450/105,110 = 105,110/x
  3. Step 3: Cross multiply
    71,450x = 105,110 × 105,110
  4. Step 4: Simplify right side
    71,450x = 11,048,112,100
  5. Step 5: Solve for x
    x = 11,048,112,100/71,450
  6. Step 6: Final answer
    x = 154,627.18

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.