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Finding the Third Proportional to 29,277 and 70,761

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Solution

The third proportional to 29,277 and 70,761 is: 171,025.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,277 : 70,761 = 70,761 : x
  2. Step 2: Convert to fraction form
    29,277/70,761 = 70,761/x
  3. Step 3: Cross multiply
    29,277x = 70,761 × 70,761
  4. Step 4: Simplify right side
    29,277x = 5,007,119,121
  5. Step 5: Solve for x
    x = 5,007,119,121/29,277
  6. Step 6: Final answer
    x = 171,025.69

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.