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Finding the Third Proportional to 65,644 and 133,693

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Solution

The third proportional to 65,644 and 133,693 is: 272,284.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,644 : 133,693 = 133,693 : x
  2. Step 2: Convert to fraction form
    65,644/133,693 = 133,693/x
  3. Step 3: Cross multiply
    65,644x = 133,693 × 133,693
  4. Step 4: Simplify right side
    65,644x = 17,873,818,249
  5. Step 5: Solve for x
    x = 17,873,818,249/65,644
  6. Step 6: Final answer
    x = 272,284.11

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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.