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Finding the Third Proportional to 133,555 and 272,058

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Solution

The third proportional to 133,555 and 272,058 is: 554,195.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,555 : 272,058 = 272,058 : x
  2. Step 2: Convert to fraction form
    133,555/272,058 = 272,058/x
  3. Step 3: Cross multiply
    133,555x = 272,058 × 272,058
  4. Step 4: Simplify right side
    133,555x = 74,015,555,364
  5. Step 5: Solve for x
    x = 74,015,555,364/133,555
  6. Step 6: Final answer
    x = 554,195.32

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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.