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Finding the Third Proportional to 136,326.75 and 208,179.75

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Solution

The third proportional to 136,326.75 and 208,179.75 is: 317,903.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,326.75 : 208,179.75 = 208,179.75 : x
  2. Step 2: Convert to fraction form
    136,326.75/208,179.75 = 208,179.75/x
  3. Step 3: Cross multiply
    136,326.75x = 208,179.75 × 208,179.75
  4. Step 4: Simplify right side
    136,326.75x = 43,338,808,310.06
  5. Step 5: Solve for x
    x = 43,338,808,310.06/136,326.75
  6. Step 6: Final answer
    x = 317,903.92

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.