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Finding the Third Proportional to 133,701 and 200,581

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Solution

The third proportional to 133,701 and 200,581 is: 300,915.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,701 : 200,581 = 200,581 : x
  2. Step 2: Convert to fraction form
    133,701/200,581 = 200,581/x
  3. Step 3: Cross multiply
    133,701x = 200,581 × 200,581
  4. Step 4: Simplify right side
    133,701x = 40,232,737,561
  5. Step 5: Solve for x
    x = 40,232,737,561/133,701
  6. Step 6: Final answer
    x = 300,915.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.