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Finding the Third Proportional to 45,172.50 and 67,105.50

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Solution

The third proportional to 45,172.50 and 67,105.50 is: 99,687.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,172.50 : 67,105.50 = 67,105.50 : x
  2. Step 2: Convert to fraction form
    45,172.50/67,105.50 = 67,105.50/x
  3. Step 3: Cross multiply
    45,172.50x = 67,105.50 × 67,105.50
  4. Step 4: Simplify right side
    45,172.50x = 4,503,148,130.25
  5. Step 5: Solve for x
    x = 4,503,148,130.25/45,172.50
  6. Step 6: Final answer
    x = 99,687.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.