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Finding the Third Proportional to 102,004 and 220,954

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Solution

The third proportional to 102,004 and 220,954 is: 478,615.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,004 : 220,954 = 220,954 : x
  2. Step 2: Convert to fraction form
    102,004/220,954 = 220,954/x
  3. Step 3: Cross multiply
    102,004x = 220,954 × 220,954
  4. Step 4: Simplify right side
    102,004x = 48,820,670,116
  5. Step 5: Solve for x
    x = 48,820,670,116/102,004
  6. Step 6: Final answer
    x = 478,615.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.