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Finding the Third Proportional to 72,190.50 and 173,915.50

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Solution

The third proportional to 72,190.50 and 173,915.50 is: 418,983.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,190.50 : 173,915.50 = 173,915.50 : x
  2. Step 2: Convert to fraction form
    72,190.50/173,915.50 = 173,915.50/x
  3. Step 3: Cross multiply
    72,190.50x = 173,915.50 × 173,915.50
  4. Step 4: Simplify right side
    72,190.50x = 30,246,601,140.25
  5. Step 5: Solve for x
    x = 30,246,601,140.25/72,190.50
  6. Step 6: Final answer
    x = 418,983.12

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.