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Finding the Third Proportional to 71,939.25 and 146,734.50

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Solution

The third proportional to 71,939.25 and 146,734.50 is: 299,294.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,939.25 : 146,734.50 = 146,734.50 : x
  2. Step 2: Convert to fraction form
    71,939.25/146,734.50 = 146,734.50/x
  3. Step 3: Cross multiply
    71,939.25x = 146,734.50 × 146,734.50
  4. Step 4: Simplify right side
    71,939.25x = 21,531,013,490.25
  5. Step 5: Solve for x
    x = 21,531,013,490.25/71,939.25
  6. Step 6: Final answer
    x = 299,294.38

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.