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Finding the Third Proportional to 67,214 and 99,285

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Solution

The third proportional to 67,214 and 99,285 is: 146,658.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,214 : 99,285 = 99,285 : x
  2. Step 2: Convert to fraction form
    67,214/99,285 = 99,285/x
  3. Step 3: Cross multiply
    67,214x = 99,285 × 99,285
  4. Step 4: Simplify right side
    67,214x = 9,857,511,225
  5. Step 5: Solve for x
    x = 9,857,511,225/67,214
  6. Step 6: Final answer
    x = 146,658.60

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.