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Finding the Third Proportional to 85,378.50 and 137,180.25

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Solution

The third proportional to 85,378.50 and 137,180.25 is: 220,411.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,378.50 : 137,180.25 = 137,180.25 : x
  2. Step 2: Convert to fraction form
    85,378.50/137,180.25 = 137,180.25/x
  3. Step 3: Cross multiply
    85,378.50x = 137,180.25 × 137,180.25
  4. Step 4: Simplify right side
    85,378.50x = 18,818,420,990.06
  5. Step 5: Solve for x
    x = 18,818,420,990.06/85,378.50
  6. Step 6: Final answer
    x = 220,411.71

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.