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Finding the Third Proportional to 75,942 and 121,203

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Solution

The third proportional to 75,942 and 121,203 is: 193,439.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,942 : 121,203 = 121,203 : x
  2. Step 2: Convert to fraction form
    75,942/121,203 = 121,203/x
  3. Step 3: Cross multiply
    75,942x = 121,203 × 121,203
  4. Step 4: Simplify right side
    75,942x = 14,690,167,209
  5. Step 5: Solve for x
    x = 14,690,167,209/75,942
  6. Step 6: Final answer
    x = 193,439.30

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.