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Finding the Third Proportional to 102,042 and 216,225

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Solution

The third proportional to 102,042 and 216,225 is: 458,176.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,042 : 216,225 = 216,225 : x
  2. Step 2: Convert to fraction form
    102,042/216,225 = 216,225/x
  3. Step 3: Cross multiply
    102,042x = 216,225 × 216,225
  4. Step 4: Simplify right side
    102,042x = 46,753,250,625
  5. Step 5: Solve for x
    x = 46,753,250,625/102,042
  6. Step 6: Final answer
    x = 458,176.54

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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.