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Finding the Third Proportional to 42,658.50 and 90,234

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Solution

The third proportional to 42,658.50 and 90,234 is: 190,868.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,658.50 : 90,234 = 90,234 : x
  2. Step 2: Convert to fraction form
    42,658.50/90,234 = 90,234/x
  3. Step 3: Cross multiply
    42,658.50x = 90,234 × 90,234
  4. Step 4: Simplify right side
    42,658.50x = 8,142,174,756
  5. Step 5: Solve for x
    x = 8,142,174,756/42,658.50
  6. Step 6: Final answer
    x = 190,868.75

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.