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Finding the Third Proportional to 34,015 and 72,147

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Solution

The third proportional to 34,015 and 72,147 is: 153,026.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,015 : 72,147 = 72,147 : x
  2. Step 2: Convert to fraction form
    34,015/72,147 = 72,147/x
  3. Step 3: Cross multiply
    34,015x = 72,147 × 72,147
  4. Step 4: Simplify right side
    34,015x = 5,205,189,609
  5. Step 5: Solve for x
    x = 5,205,189,609/34,015
  6. Step 6: Final answer
    x = 153,026.30

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.