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Finding the Third Proportional to 103,924 and 223,875

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Solution

The third proportional to 103,924 and 223,875 is: 482,275.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,924 : 223,875 = 223,875 : x
  2. Step 2: Convert to fraction form
    103,924/223,875 = 223,875/x
  3. Step 3: Cross multiply
    103,924x = 223,875 × 223,875
  4. Step 4: Simplify right side
    103,924x = 50,120,015,625
  5. Step 5: Solve for x
    x = 50,120,015,625/103,924
  6. Step 6: Final answer
    x = 482,275.66

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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.