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Finding the Third Proportional to 31,251 and 69,414

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Solution

The third proportional to 31,251 and 69,414 is: 154,180.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,251 : 69,414 = 69,414 : x
  2. Step 2: Convert to fraction form
    31,251/69,414 = 69,414/x
  3. Step 3: Cross multiply
    31,251x = 69,414 × 69,414
  4. Step 4: Simplify right side
    31,251x = 4,818,303,396
  5. Step 5: Solve for x
    x = 4,818,303,396/31,251
  6. Step 6: Final answer
    x = 154,180.77

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.