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Finding the Third Proportional to 29,276 and 69,078

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Solution

The third proportional to 29,276 and 69,078 is: 162,992.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,276 : 69,078 = 69,078 : x
  2. Step 2: Convert to fraction form
    29,276/69,078 = 69,078/x
  3. Step 3: Cross multiply
    29,276x = 69,078 × 69,078
  4. Step 4: Simplify right side
    29,276x = 4,771,770,084
  5. Step 5: Solve for x
    x = 4,771,770,084/29,276
  6. Step 6: Final answer
    x = 162,992.56

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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.