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Finding the Third Proportional to 34,115 and 72,604

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Solution

The third proportional to 34,115 and 72,604 is: 154,516.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,115 : 72,604 = 72,604 : x
  2. Step 2: Convert to fraction form
    34,115/72,604 = 72,604/x
  3. Step 3: Cross multiply
    34,115x = 72,604 × 72,604
  4. Step 4: Simplify right side
    34,115x = 5,271,340,816
  5. Step 5: Solve for x
    x = 5,271,340,816/34,115
  6. Step 6: Final answer
    x = 154,516.81

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.