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Finding the Third Proportional to 67,754 and 102,131

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Solution

The third proportional to 67,754 and 102,131 is: 153,950.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,754 : 102,131 = 102,131 : x
  2. Step 2: Convert to fraction form
    67,754/102,131 = 102,131/x
  3. Step 3: Cross multiply
    67,754x = 102,131 × 102,131
  4. Step 4: Simplify right side
    67,754x = 10,430,741,161
  5. Step 5: Solve for x
    x = 10,430,741,161/67,754
  6. Step 6: Final answer
    x = 153,950.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.