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Finding the Third Proportional to 73,147 and 97,874

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Solution

The third proportional to 73,147 and 97,874 is: 130,959.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,147 : 97,874 = 97,874 : x
  2. Step 2: Convert to fraction form
    73,147/97,874 = 97,874/x
  3. Step 3: Cross multiply
    73,147x = 97,874 × 97,874
  4. Step 4: Simplify right side
    73,147x = 9,579,319,876
  5. Step 5: Solve for x
    x = 9,579,319,876/73,147
  6. Step 6: Final answer
    x = 130,959.85

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.