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Finding the Third Proportional to 64,493 and 133,543

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Solution

The third proportional to 64,493 and 133,543 is: 276,521.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,493 : 133,543 = 133,543 : x
  2. Step 2: Convert to fraction form
    64,493/133,543 = 133,543/x
  3. Step 3: Cross multiply
    64,493x = 133,543 × 133,543
  4. Step 4: Simplify right side
    64,493x = 17,833,732,849
  5. Step 5: Solve for x
    x = 17,833,732,849/64,493
  6. Step 6: Final answer
    x = 276,521.99

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.