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Finding the Third Proportional to 63,177 and 135,102

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Solution

The third proportional to 63,177 and 135,102 is: 288,911.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,177 : 135,102 = 135,102 : x
  2. Step 2: Convert to fraction form
    63,177/135,102 = 135,102/x
  3. Step 3: Cross multiply
    63,177x = 135,102 × 135,102
  4. Step 4: Simplify right side
    63,177x = 18,252,550,404
  5. Step 5: Solve for x
    x = 18,252,550,404/63,177
  6. Step 6: Final answer
    x = 288,911.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.