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Finding the Third Proportional to 136,668 and 207,768

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Solution

The third proportional to 136,668 and 207,768 is: 315,856.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,668 : 207,768 = 207,768 : x
  2. Step 2: Convert to fraction form
    136,668/207,768 = 207,768/x
  3. Step 3: Cross multiply
    136,668x = 207,768 × 207,768
  4. Step 4: Simplify right side
    136,668x = 43,167,541,824
  5. Step 5: Solve for x
    x = 43,167,541,824/136,668
  6. Step 6: Final answer
    x = 315,856.98

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.