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Finding the Third Proportional to 71,193 and 103,117.50

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Solution

The third proportional to 71,193 and 103,117.50 is: 149,357.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,193 : 103,117.50 = 103,117.50 : x
  2. Step 2: Convert to fraction form
    71,193/103,117.50 = 103,117.50/x
  3. Step 3: Cross multiply
    71,193x = 103,117.50 × 103,117.50
  4. Step 4: Simplify right side
    71,193x = 10,633,218,806.25
  5. Step 5: Solve for x
    x = 10,633,218,806.25/71,193
  6. Step 6: Final answer
    x = 149,357.64

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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.