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Finding the Third Proportional to 29,125 and 63,194

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Solution

The third proportional to 29,125 and 63,194 is: 137,115.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,125 : 63,194 = 63,194 : x
  2. Step 2: Convert to fraction form
    29,125/63,194 = 63,194/x
  3. Step 3: Cross multiply
    29,125x = 63,194 × 63,194
  4. Step 4: Simplify right side
    29,125x = 3,993,481,636
  5. Step 5: Solve for x
    x = 3,993,481,636/29,125
  6. Step 6: Final answer
    x = 137,115.25

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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.