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Finding the Third Proportional to 94,671 and 142,249.50

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Solution

The third proportional to 94,671 and 142,249.50 is: 213,739.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,671 : 142,249.50 = 142,249.50 : x
  2. Step 2: Convert to fraction form
    94,671/142,249.50 = 142,249.50/x
  3. Step 3: Cross multiply
    94,671x = 142,249.50 × 142,249.50
  4. Step 4: Simplify right side
    94,671x = 20,234,920,250.25
  5. Step 5: Solve for x
    x = 20,234,920,250.25/94,671
  6. Step 6: Final answer
    x = 213,739.37

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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.