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Finding the Third Proportional to 29,330 and 69,167

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Solution

The third proportional to 29,330 and 69,167 is: 163,111.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,330 : 69,167 = 69,167 : x
  2. Step 2: Convert to fraction form
    29,330/69,167 = 69,167/x
  3. Step 3: Cross multiply
    29,330x = 69,167 × 69,167
  4. Step 4: Simplify right side
    29,330x = 4,784,073,889
  5. Step 5: Solve for x
    x = 4,784,073,889/29,330
  6. Step 6: Final answer
    x = 163,111.96

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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.