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Finding the Third Proportional to 133,505 and 271,968

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Solution

The third proportional to 133,505 and 271,968 is: 554,036.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,505 : 271,968 = 271,968 : x
  2. Step 2: Convert to fraction form
    133,505/271,968 = 271,968/x
  3. Step 3: Cross multiply
    133,505x = 271,968 × 271,968
  4. Step 4: Simplify right side
    133,505x = 73,966,593,024
  5. Step 5: Solve for x
    x = 73,966,593,024/133,505
  6. Step 6: Final answer
    x = 554,036.13

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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.