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Finding the Third Proportional to 73,514 and 161,037

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Solution

The third proportional to 73,514 and 161,037 is: 352,761.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,514 : 161,037 = 161,037 : x
  2. Step 2: Convert to fraction form
    73,514/161,037 = 161,037/x
  3. Step 3: Cross multiply
    73,514x = 161,037 × 161,037
  4. Step 4: Simplify right side
    73,514x = 25,932,915,369
  5. Step 5: Solve for x
    x = 25,932,915,369/73,514
  6. Step 6: Final answer
    x = 352,761.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.