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Finding the Third Proportional to 77,967 and 168,377

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Solution

The third proportional to 77,967 and 168,377 is: 363,625.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,967 : 168,377 = 168,377 : x
  2. Step 2: Convert to fraction form
    77,967/168,377 = 168,377/x
  3. Step 3: Cross multiply
    77,967x = 168,377 × 168,377
  4. Step 4: Simplify right side
    77,967x = 28,350,814,129
  5. Step 5: Solve for x
    x = 28,350,814,129/77,967
  6. Step 6: Final answer
    x = 363,625.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.