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Finding the Third Proportional to 64,333 and 131,786

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Solution

The third proportional to 64,333 and 131,786 is: 269,963.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,333 : 131,786 = 131,786 : x
  2. Step 2: Convert to fraction form
    64,333/131,786 = 131,786/x
  3. Step 3: Cross multiply
    64,333x = 131,786 × 131,786
  4. Step 4: Simplify right side
    64,333x = 17,367,549,796
  5. Step 5: Solve for x
    x = 17,367,549,796/64,333
  6. Step 6: Final answer
    x = 269,963.31

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