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Finding the Third Proportional to 76,902 and 168,946

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Solution

The third proportional to 76,902 and 168,946 is: 371,157.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,902 : 168,946 = 168,946 : x
  2. Step 2: Convert to fraction form
    76,902/168,946 = 168,946/x
  3. Step 3: Cross multiply
    76,902x = 168,946 × 168,946
  4. Step 4: Simplify right side
    76,902x = 28,542,750,916
  5. Step 5: Solve for x
    x = 28,542,750,916/76,902
  6. Step 6: Final answer
    x = 371,157.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.