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Finding the Third Proportional to 71,678.25 and 100,253.25

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Solution

The third proportional to 71,678.25 and 100,253.25 is: 140,219.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,678.25 : 100,253.25 = 100,253.25 : x
  2. Step 2: Convert to fraction form
    71,678.25/100,253.25 = 100,253.25/x
  3. Step 3: Cross multiply
    71,678.25x = 100,253.25 × 100,253.25
  4. Step 4: Simplify right side
    71,678.25x = 10,050,714,135.56
  5. Step 5: Solve for x
    x = 10,050,714,135.56/71,678.25
  6. Step 6: Final answer
    x = 140,219.86

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.