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Finding the Third Proportional to 92,450 and 142,131

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Solution

The third proportional to 92,450 and 142,131 is: 218,509.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,450 : 142,131 = 142,131 : x
  2. Step 2: Convert to fraction form
    92,450/142,131 = 142,131/x
  3. Step 3: Cross multiply
    92,450x = 142,131 × 142,131
  4. Step 4: Simplify right side
    92,450x = 20,201,221,161
  5. Step 5: Solve for x
    x = 20,201,221,161/92,450
  6. Step 6: Final answer
    x = 218,509.69

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.