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Finding the Third Proportional to 42,145.31 and 89,165.81

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Solution

The third proportional to 42,145.31 and 89,165.81 is: 188,645.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,145.31 : 89,165.81 = 89,165.81 : x
  2. Step 2: Convert to fraction form
    42,145.31/89,165.81 = 89,165.81/x
  3. Step 3: Cross multiply
    42,145.31x = 89,165.81 × 89,165.81
  4. Step 4: Simplify right side
    42,145.31x = 7,950,542,118.79
  5. Step 5: Solve for x
    x = 7,950,542,118.79/42,145.31
  6. Step 6: Final answer
    x = 188,645.94

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.