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Finding the Third Proportional to 77,982.75 and 164,114.25

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Solution

The third proportional to 77,982.75 and 164,114.25 is: 345,377.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,982.75 : 164,114.25 = 164,114.25 : x
  2. Step 2: Convert to fraction form
    77,982.75/164,114.25 = 164,114.25/x
  3. Step 3: Cross multiply
    77,982.75x = 164,114.25 × 164,114.25
  4. Step 4: Simplify right side
    77,982.75x = 26,933,487,053.06
  5. Step 5: Solve for x
    x = 26,933,487,053.06/77,982.75
  6. Step 6: Final answer
    x = 345,377.50

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.