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Finding the Third Proportional to 69,022 and 148,604

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Solution

The third proportional to 69,022 and 148,604 is: 319,943.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,022 : 148,604 = 148,604 : x
  2. Step 2: Convert to fraction form
    69,022/148,604 = 148,604/x
  3. Step 3: Cross multiply
    69,022x = 148,604 × 148,604
  4. Step 4: Simplify right side
    69,022x = 22,083,148,816
  5. Step 5: Solve for x
    x = 22,083,148,816/69,022
  6. Step 6: Final answer
    x = 319,943.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.