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Finding the Third Proportional to 29,291 and 69,116

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Solution

The third proportional to 29,291 and 69,116 is: 163,088.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,291 : 69,116 = 69,116 : x
  2. Step 2: Convert to fraction form
    29,291/69,116 = 69,116/x
  3. Step 3: Cross multiply
    29,291x = 69,116 × 69,116
  4. Step 4: Simplify right side
    29,291x = 4,777,021,456
  5. Step 5: Solve for x
    x = 4,777,021,456/29,291
  6. Step 6: Final answer
    x = 163,088.37

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.