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Finding the Third Proportional to 73,846.69 and 161,058.94

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Solution

The third proportional to 73,846.69 and 161,058.94 is: 351,268.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,846.69 : 161,058.94 = 161,058.94 : x
  2. Step 2: Convert to fraction form
    73,846.69/161,058.94 = 161,058.94/x
  3. Step 3: Cross multiply
    73,846.69x = 161,058.94 × 161,058.94
  4. Step 4: Simplify right side
    73,846.69x = 25,939,981,348.63
  5. Step 5: Solve for x
    x = 25,939,981,348.63/73,846.69
  6. Step 6: Final answer
    x = 351,268.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.