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Finding the Third Proportional to 41,481 and 89,973

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Solution

The third proportional to 41,481 and 89,973 is: 195,152.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,481 : 89,973 = 89,973 : x
  2. Step 2: Convert to fraction form
    41,481/89,973 = 89,973/x
  3. Step 3: Cross multiply
    41,481x = 89,973 × 89,973
  4. Step 4: Simplify right side
    41,481x = 8,095,140,729
  5. Step 5: Solve for x
    x = 8,095,140,729/41,481
  6. Step 6: Final answer
    x = 195,152.98

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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.