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Finding the Third Proportional to 73,716 and 161,436

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Solution

The third proportional to 73,716 and 161,436 is: 353,540.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,716 : 161,436 = 161,436 : x
  2. Step 2: Convert to fraction form
    73,716/161,436 = 161,436/x
  3. Step 3: Cross multiply
    73,716x = 161,436 × 161,436
  4. Step 4: Simplify right side
    73,716x = 26,061,582,096
  5. Step 5: Solve for x
    x = 26,061,582,096/73,716
  6. Step 6: Final answer
    x = 353,540.37

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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.