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Finding the Third Proportional to 29,137 and 63,206

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Solution

The third proportional to 29,137 and 63,206 is: 137,110.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,137 : 63,206 = 63,206 : x
  2. Step 2: Convert to fraction form
    29,137/63,206 = 63,206/x
  3. Step 3: Cross multiply
    29,137x = 63,206 × 63,206
  4. Step 4: Simplify right side
    29,137x = 3,994,998,436
  5. Step 5: Solve for x
    x = 3,994,998,436/29,137
  6. Step 6: Final answer
    x = 137,110.84

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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.