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Finding the Third Proportional to 78,194 and 125,902

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Solution

The third proportional to 78,194 and 125,902 is: 202,717.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,194 : 125,902 = 125,902 : x
  2. Step 2: Convert to fraction form
    78,194/125,902 = 125,902/x
  3. Step 3: Cross multiply
    78,194x = 125,902 × 125,902
  4. Step 4: Simplify right side
    78,194x = 15,851,313,604
  5. Step 5: Solve for x
    x = 15,851,313,604/78,194
  6. Step 6: Final answer
    x = 202,717.77

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.