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Finding the Third Proportional to 69,633 and 104,604

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Solution

The third proportional to 69,633 and 104,604 is: 157,138.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,633 : 104,604 = 104,604 : x
  2. Step 2: Convert to fraction form
    69,633/104,604 = 104,604/x
  3. Step 3: Cross multiply
    69,633x = 104,604 × 104,604
  4. Step 4: Simplify right side
    69,633x = 10,941,996,816
  5. Step 5: Solve for x
    x = 10,941,996,816/69,633
  6. Step 6: Final answer
    x = 157,138.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.