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Finding the Third Proportional to 69,552 and 149,901

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Solution

The third proportional to 69,552 and 149,901 is: 323,072.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,552 : 149,901 = 149,901 : x
  2. Step 2: Convert to fraction form
    69,552/149,901 = 149,901/x
  3. Step 3: Cross multiply
    69,552x = 149,901 × 149,901
  4. Step 4: Simplify right side
    69,552x = 22,470,309,801
  5. Step 5: Solve for x
    x = 22,470,309,801/69,552
  6. Step 6: Final answer
    x = 323,072.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.