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Finding the Third Proportional to 71,190 and 103,113

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Solution

The third proportional to 71,190 and 103,113 is: 149,350.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,190 : 103,113 = 103,113 : x
  2. Step 2: Convert to fraction form
    71,190/103,113 = 103,113/x
  3. Step 3: Cross multiply
    71,190x = 103,113 × 103,113
  4. Step 4: Simplify right side
    71,190x = 10,632,290,769
  5. Step 5: Solve for x
    x = 10,632,290,769/71,190
  6. Step 6: Final answer
    x = 149,350.90

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.