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Finding the Third Proportional to 133,503 and 271,964

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Solution

The third proportional to 133,503 and 271,964 is: 554,028.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,503 : 271,964 = 271,964 : x
  2. Step 2: Convert to fraction form
    133,503/271,964 = 271,964/x
  3. Step 3: Cross multiply
    133,503x = 271,964 × 271,964
  4. Step 4: Simplify right side
    133,503x = 73,964,417,296
  5. Step 5: Solve for x
    x = 73,964,417,296/133,503
  6. Step 6: Final answer
    x = 554,028.13

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.