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Finding the Third Proportional to 63,710 and 135,016

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Solution

The third proportional to 63,710 and 135,016 is: 286,129.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,710 : 135,016 = 135,016 : x
  2. Step 2: Convert to fraction form
    63,710/135,016 = 135,016/x
  3. Step 3: Cross multiply
    63,710x = 135,016 × 135,016
  4. Step 4: Simplify right side
    63,710x = 18,229,320,256
  5. Step 5: Solve for x
    x = 18,229,320,256/63,710
  6. Step 6: Final answer
    x = 286,129.65

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.