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Finding the Third Proportional to 29,124 and 63,192

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Solution

The third proportional to 29,124 and 63,192 is: 137,111.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,124 : 63,192 = 63,192 : x
  2. Step 2: Convert to fraction form
    29,124/63,192 = 63,192/x
  3. Step 3: Cross multiply
    29,124x = 63,192 × 63,192
  4. Step 4: Simplify right side
    29,124x = 3,993,228,864
  5. Step 5: Solve for x
    x = 3,993,228,864/29,124
  6. Step 6: Final answer
    x = 137,111.28

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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.