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Finding the Third Proportional to 94,790 and 142,425

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Solution

The third proportional to 94,790 and 142,425 is: 213,998.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,790 : 142,425 = 142,425 : x
  2. Step 2: Convert to fraction form
    94,790/142,425 = 142,425/x
  3. Step 3: Cross multiply
    94,790x = 142,425 × 142,425
  4. Step 4: Simplify right side
    94,790x = 20,284,880,625
  5. Step 5: Solve for x
    x = 20,284,880,625/94,790
  6. Step 6: Final answer
    x = 213,998.11

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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.