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Finding the Third Proportional to 69,606 and 149,052

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Solution

The third proportional to 69,606 and 149,052 is: 319,175.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,606 : 149,052 = 149,052 : x
  2. Step 2: Convert to fraction form
    69,606/149,052 = 149,052/x
  3. Step 3: Cross multiply
    69,606x = 149,052 × 149,052
  4. Step 4: Simplify right side
    69,606x = 22,216,498,704
  5. Step 5: Solve for x
    x = 22,216,498,704/69,606
  6. Step 6: Final answer
    x = 319,175.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.