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Finding the Third Proportional to 104,571 and 140,508

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Solution

The third proportional to 104,571 and 140,508 is: 188,795.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,571 : 140,508 = 140,508 : x
  2. Step 2: Convert to fraction form
    104,571/140,508 = 140,508/x
  3. Step 3: Cross multiply
    104,571x = 140,508 × 140,508
  4. Step 4: Simplify right side
    104,571x = 19,742,498,064
  5. Step 5: Solve for x
    x = 19,742,498,064/104,571
  6. Step 6: Final answer
    x = 188,795.15

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.