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Finding the Third Proportional to 41,566.50 and 89,039.25

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Solution

The third proportional to 41,566.50 and 89,039.25 is: 190,730.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,566.50 : 89,039.25 = 89,039.25 : x
  2. Step 2: Convert to fraction form
    41,566.50/89,039.25 = 89,039.25/x
  3. Step 3: Cross multiply
    41,566.50x = 89,039.25 × 89,039.25
  4. Step 4: Simplify right side
    41,566.50x = 7,927,988,040.56
  5. Step 5: Solve for x
    x = 7,927,988,040.56/41,566.50
  6. Step 6: Final answer
    x = 190,730.23

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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.