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Finding the Third Proportional to 29,268 and 63,144

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Solution

The third proportional to 29,268 and 63,144 is: 136,229.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,268 : 63,144 = 63,144 : x
  2. Step 2: Convert to fraction form
    29,268/63,144 = 63,144/x
  3. Step 3: Cross multiply
    29,268x = 63,144 × 63,144
  4. Step 4: Simplify right side
    29,268x = 3,987,164,736
  5. Step 5: Solve for x
    x = 3,987,164,736/29,268
  6. Step 6: Final answer
    x = 136,229.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.