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Finding the Third Proportional to 73,853 and 178,054

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Solution

The third proportional to 73,853 and 178,054 is: 429,274.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,853 : 178,054 = 178,054 : x
  2. Step 2: Convert to fraction form
    73,853/178,054 = 178,054/x
  3. Step 3: Cross multiply
    73,853x = 178,054 × 178,054
  4. Step 4: Simplify right side
    73,853x = 31,703,226,916
  5. Step 5: Solve for x
    x = 31,703,226,916/73,853
  6. Step 6: Final answer
    x = 429,274.73

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.