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Finding the Third Proportional to 41,815.50 and 89,355

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Solution

The third proportional to 41,815.50 and 89,355 is: 190,941.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,815.50 : 89,355 = 89,355 : x
  2. Step 2: Convert to fraction form
    41,815.50/89,355 = 89,355/x
  3. Step 3: Cross multiply
    41,815.50x = 89,355 × 89,355
  4. Step 4: Simplify right side
    41,815.50x = 7,984,316,025
  5. Step 5: Solve for x
    x = 7,984,316,025/41,815.50
  6. Step 6: Final answer
    x = 190,941.54

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.