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Finding the Third Proportional to 40,495 and 89,044

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Solution

The third proportional to 40,495 and 89,044 is: 195,797.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,495 : 89,044 = 89,044 : x
  2. Step 2: Convert to fraction form
    40,495/89,044 = 89,044/x
  3. Step 3: Cross multiply
    40,495x = 89,044 × 89,044
  4. Step 4: Simplify right side
    40,495x = 7,928,833,936
  5. Step 5: Solve for x
    x = 7,928,833,936/40,495
  6. Step 6: Final answer
    x = 195,797.85

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.