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Finding the Third Proportional to 133,029 and 272,273

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Solution

The third proportional to 133,029 and 272,273 is: 557,266.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,029 : 272,273 = 272,273 : x
  2. Step 2: Convert to fraction form
    133,029/272,273 = 272,273/x
  3. Step 3: Cross multiply
    133,029x = 272,273 × 272,273
  4. Step 4: Simplify right side
    133,029x = 74,132,586,529
  5. Step 5: Solve for x
    x = 74,132,586,529/133,029
  6. Step 6: Final answer
    x = 557,266.36

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.