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Finding the Third Proportional to 94,462 and 141,450

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Solution

The third proportional to 94,462 and 141,450 is: 211,811.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,462 : 141,450 = 141,450 : x
  2. Step 2: Convert to fraction form
    94,462/141,450 = 141,450/x
  3. Step 3: Cross multiply
    94,462x = 141,450 × 141,450
  4. Step 4: Simplify right side
    94,462x = 20,008,102,500
  5. Step 5: Solve for x
    x = 20,008,102,500/94,462
  6. Step 6: Final answer
    x = 211,811.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.