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Finding the Third Proportional to 77,274 and 178,902

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Solution

The third proportional to 77,274 and 178,902 is: 414,187.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,274 : 178,902 = 178,902 : x
  2. Step 2: Convert to fraction form
    77,274/178,902 = 178,902/x
  3. Step 3: Cross multiply
    77,274x = 178,902 × 178,902
  4. Step 4: Simplify right side
    77,274x = 32,005,925,604
  5. Step 5: Solve for x
    x = 32,005,925,604/77,274
  6. Step 6: Final answer
    x = 414,187.51

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.