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Finding the Third Proportional to 64,636 and 135,128

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Solution

The third proportional to 64,636 and 135,128 is: 282,498.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,636 : 135,128 = 135,128 : x
  2. Step 2: Convert to fraction form
    64,636/135,128 = 135,128/x
  3. Step 3: Cross multiply
    64,636x = 135,128 × 135,128
  4. Step 4: Simplify right side
    64,636x = 18,259,576,384
  5. Step 5: Solve for x
    x = 18,259,576,384/64,636
  6. Step 6: Final answer
    x = 282,498.55

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.