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Finding the Third Proportional to 136,715.25 and 214,033.13

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Solution

The third proportional to 136,715.25 and 214,033.13 is: 335,077.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,715.25 : 214,033.13 = 214,033.13 : x
  2. Step 2: Convert to fraction form
    136,715.25/214,033.13 = 214,033.13/x
  3. Step 3: Cross multiply
    136,715.25x = 214,033.13 × 214,033.13
  4. Step 4: Simplify right side
    136,715.25x = 45,810,178,597.27
  5. Step 5: Solve for x
    x = 45,810,178,597.27/136,715.25
  6. Step 6: Final answer
    x = 335,077.31

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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.