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Finding the Third Proportional to 105,340 and 149,052

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Solution

The third proportional to 105,340 and 149,052 is: 210,902.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,340 : 149,052 = 149,052 : x
  2. Step 2: Convert to fraction form
    105,340/149,052 = 149,052/x
  3. Step 3: Cross multiply
    105,340x = 149,052 × 149,052
  4. Step 4: Simplify right side
    105,340x = 22,216,498,704
  5. Step 5: Solve for x
    x = 22,216,498,704/105,340
  6. Step 6: Final answer
    x = 210,902.78

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.