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Finding the Third Proportional to 73,097 and 157,474

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Solution

The third proportional to 73,097 and 157,474 is: 339,248.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,097 : 157,474 = 157,474 : x
  2. Step 2: Convert to fraction form
    73,097/157,474 = 157,474/x
  3. Step 3: Cross multiply
    73,097x = 157,474 × 157,474
  4. Step 4: Simplify right side
    73,097x = 24,798,060,676
  5. Step 5: Solve for x
    x = 24,798,060,676/73,097
  6. Step 6: Final answer
    x = 339,248.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.