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Finding the Third Proportional to 105,478.25 and 140,900.25

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Solution

The third proportional to 105,478.25 and 140,900.25 is: 188,217.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,478.25 : 140,900.25 = 140,900.25 : x
  2. Step 2: Convert to fraction form
    105,478.25/140,900.25 = 140,900.25/x
  3. Step 3: Cross multiply
    105,478.25x = 140,900.25 × 140,900.25
  4. Step 4: Simplify right side
    105,478.25x = 19,852,880,450.06
  5. Step 5: Solve for x
    x = 19,852,880,450.06/105,478.25
  6. Step 6: Final answer
    x = 188,217.76

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.