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Finding the Third Proportional to 77,894 and 168,910

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Solution

The third proportional to 77,894 and 168,910 is: 366,274.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,894 : 168,910 = 168,910 : x
  2. Step 2: Convert to fraction form
    77,894/168,910 = 168,910/x
  3. Step 3: Cross multiply
    77,894x = 168,910 × 168,910
  4. Step 4: Simplify right side
    77,894x = 28,530,588,100
  5. Step 5: Solve for x
    x = 28,530,588,100/77,894
  6. Step 6: Final answer
    x = 366,274.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.