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Finding the Third Proportional to 102,004 and 218,754

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Solution

The third proportional to 102,004 and 218,754 is: 469,131.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,004 : 218,754 = 218,754 : x
  2. Step 2: Convert to fraction form
    102,004/218,754 = 218,754/x
  3. Step 3: Cross multiply
    102,004x = 218,754 × 218,754
  4. Step 4: Simplify right side
    102,004x = 47,853,312,516
  5. Step 5: Solve for x
    x = 47,853,312,516/102,004
  6. Step 6: Final answer
    x = 469,131.73

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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.