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Finding the Third Proportional to 29,165 and 60,274

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Solution

The third proportional to 29,165 and 60,274 is: 124,565.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,165 : 60,274 = 60,274 : x
  2. Step 2: Convert to fraction form
    29,165/60,274 = 60,274/x
  3. Step 3: Cross multiply
    29,165x = 60,274 × 60,274
  4. Step 4: Simplify right side
    29,165x = 3,632,955,076
  5. Step 5: Solve for x
    x = 3,632,955,076/29,165
  6. Step 6: Final answer
    x = 124,565.58

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.