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Finding the Third Proportional to 29,143 and 63,182

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Solution

The third proportional to 29,143 and 63,182 is: 136,978.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,143 : 63,182 = 63,182 : x
  2. Step 2: Convert to fraction form
    29,143/63,182 = 63,182/x
  3. Step 3: Cross multiply
    29,143x = 63,182 × 63,182
  4. Step 4: Simplify right side
    29,143x = 3,991,965,124
  5. Step 5: Solve for x
    x = 3,991,965,124/29,143
  6. Step 6: Final answer
    x = 136,978.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.