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Finding the Third Proportional to 29,116 and 63,176

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Solution

The third proportional to 29,116 and 63,176 is: 137,079.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,116 : 63,176 = 63,176 : x
  2. Step 2: Convert to fraction form
    29,116/63,176 = 63,176/x
  3. Step 3: Cross multiply
    29,116x = 63,176 × 63,176
  4. Step 4: Simplify right side
    29,116x = 3,991,206,976
  5. Step 5: Solve for x
    x = 3,991,206,976/29,116
  6. Step 6: Final answer
    x = 137,079.51

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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.