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Finding the Third Proportional to 34,564 and 72,104

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Solution

The third proportional to 34,564 and 72,104 is: 150,416.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,564 : 72,104 = 72,104 : x
  2. Step 2: Convert to fraction form
    34,564/72,104 = 72,104/x
  3. Step 3: Cross multiply
    34,564x = 72,104 × 72,104
  4. Step 4: Simplify right side
    34,564x = 5,198,986,816
  5. Step 5: Solve for x
    x = 5,198,986,816/34,564
  6. Step 6: Final answer
    x = 150,416.24

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.