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Finding the Third Proportional to 131,676 and 200,754

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Solution

The third proportional to 131,676 and 200,754 is: 306,070.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,676 : 200,754 = 200,754 : x
  2. Step 2: Convert to fraction form
    131,676/200,754 = 200,754/x
  3. Step 3: Cross multiply
    131,676x = 200,754 × 200,754
  4. Step 4: Simplify right side
    131,676x = 40,302,168,516
  5. Step 5: Solve for x
    x = 40,302,168,516/131,676
  6. Step 6: Final answer
    x = 306,070.72

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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.