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Finding the Third Proportional to 102,006 and 219,510

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Solution

The third proportional to 102,006 and 219,510 is: 472,370.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,006 : 219,510 = 219,510 : x
  2. Step 2: Convert to fraction form
    102,006/219,510 = 219,510/x
  3. Step 3: Cross multiply
    102,006x = 219,510 × 219,510
  4. Step 4: Simplify right side
    102,006x = 48,184,640,100
  5. Step 5: Solve for x
    x = 48,184,640,100/102,006
  6. Step 6: Final answer
    x = 472,370.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.