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Finding the Third Proportional to 136,716 and 214,034

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Solution

The third proportional to 136,716 and 214,034 is: 335,078.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,716 : 214,034 = 214,034 : x
  2. Step 2: Convert to fraction form
    136,716/214,034 = 214,034/x
  3. Step 3: Cross multiply
    136,716x = 214,034 × 214,034
  4. Step 4: Simplify right side
    136,716x = 45,810,553,156
  5. Step 5: Solve for x
    x = 45,810,553,156/136,716
  6. Step 6: Final answer
    x = 335,078.21

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.