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Finding the Third Proportional to 133,557 and 272,062

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Solution

The third proportional to 133,557 and 272,062 is: 554,203.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,557 : 272,062 = 272,062 : x
  2. Step 2: Convert to fraction form
    133,557/272,062 = 272,062/x
  3. Step 3: Cross multiply
    133,557x = 272,062 × 272,062
  4. Step 4: Simplify right side
    133,557x = 74,017,731,844
  5. Step 5: Solve for x
    x = 74,017,731,844/133,557
  6. Step 6: Final answer
    x = 554,203.31

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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.