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Finding the Third Proportional to 77,434 and 168,962

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Solution

The third proportional to 77,434 and 168,962 is: 368,677.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,434 : 168,962 = 168,962 : x
  2. Step 2: Convert to fraction form
    77,434/168,962 = 168,962/x
  3. Step 3: Cross multiply
    77,434x = 168,962 × 168,962
  4. Step 4: Simplify right side
    77,434x = 28,548,157,444
  5. Step 5: Solve for x
    x = 28,548,157,444/77,434
  6. Step 6: Final answer
    x = 368,677.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.