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Finding the Third Proportional to 136,164 and 199,668

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Solution

The third proportional to 136,164 and 199,668 is: 292,788.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,164 : 199,668 = 199,668 : x
  2. Step 2: Convert to fraction form
    136,164/199,668 = 199,668/x
  3. Step 3: Cross multiply
    136,164x = 199,668 × 199,668
  4. Step 4: Simplify right side
    136,164x = 39,867,310,224
  5. Step 5: Solve for x
    x = 39,867,310,224/136,164
  6. Step 6: Final answer
    x = 292,788.92

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.