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Finding the Third Proportional to 42,920.50 and 93,229.75

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Solution

The third proportional to 42,920.50 and 93,229.75 is: 202,508.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,920.50 : 93,229.75 = 93,229.75 : x
  2. Step 2: Convert to fraction form
    42,920.50/93,229.75 = 93,229.75/x
  3. Step 3: Cross multiply
    42,920.50x = 93,229.75 × 93,229.75
  4. Step 4: Simplify right side
    42,920.50x = 8,691,786,285.06
  5. Step 5: Solve for x
    x = 8,691,786,285.06/42,920.50
  6. Step 6: Final answer
    x = 202,508.97

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.