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Finding the Third Proportional to 63,129 and 135,129

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Solution

The third proportional to 63,129 and 135,129 is: 289,246.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,129 : 135,129 = 135,129 : x
  2. Step 2: Convert to fraction form
    63,129/135,129 = 135,129/x
  3. Step 3: Cross multiply
    63,129x = 135,129 × 135,129
  4. Step 4: Simplify right side
    63,129x = 18,259,846,641
  5. Step 5: Solve for x
    x = 18,259,846,641/63,129
  6. Step 6: Final answer
    x = 289,246.57

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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.