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Finding the Third Proportional to 42,923.25 and 65,665.69

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Solution

The third proportional to 42,923.25 and 65,665.69 is: 100,457.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,923.25 : 65,665.69 = 65,665.69 : x
  2. Step 2: Convert to fraction form
    42,923.25/65,665.69 = 65,665.69/x
  3. Step 3: Cross multiply
    42,923.25x = 65,665.69 × 65,665.69
  4. Step 4: Simplify right side
    42,923.25x = 4,311,982,514.85
  5. Step 5: Solve for x
    x = 4,311,982,514.85/42,923.25
  6. Step 6: Final answer
    x = 100,457.97

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.