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Finding the Third Proportional to 64,188 and 132,871

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Solution

The third proportional to 64,188 and 132,871 is: 275,046.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,188 : 132,871 = 132,871 : x
  2. Step 2: Convert to fraction form
    64,188/132,871 = 132,871/x
  3. Step 3: Cross multiply
    64,188x = 132,871 × 132,871
  4. Step 4: Simplify right side
    64,188x = 17,654,702,641
  5. Step 5: Solve for x
    x = 17,654,702,641/64,188
  6. Step 6: Final answer
    x = 275,046.78

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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.