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Finding the Third Proportional to 102,959.25 and 210,936.75

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Solution

The third proportional to 102,959.25 and 210,936.75 is: 432,154.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,959.25 : 210,936.75 = 210,936.75 : x
  2. Step 2: Convert to fraction form
    102,959.25/210,936.75 = 210,936.75/x
  3. Step 3: Cross multiply
    102,959.25x = 210,936.75 × 210,936.75
  4. Step 4: Simplify right side
    102,959.25x = 44,494,312,500.56
  5. Step 5: Solve for x
    x = 44,494,312,500.56/102,959.25
  6. Step 6: Final answer
    x = 432,154.59

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.