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Finding the Third Proportional to 102,006 and 218,754

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Solution

The third proportional to 102,006 and 218,754 is: 469,122.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,006 : 218,754 = 218,754 : x
  2. Step 2: Convert to fraction form
    102,006/218,754 = 218,754/x
  3. Step 3: Cross multiply
    102,006x = 218,754 × 218,754
  4. Step 4: Simplify right side
    102,006x = 47,853,312,516
  5. Step 5: Solve for x
    x = 47,853,312,516/102,006
  6. Step 6: Final answer
    x = 469,122.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.