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Finding the Third Proportional to 104,022 and 156,952

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Solution

The third proportional to 104,022 and 156,952 is: 236,814.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,022 : 156,952 = 156,952 : x
  2. Step 2: Convert to fraction form
    104,022/156,952 = 156,952/x
  3. Step 3: Cross multiply
    104,022x = 156,952 × 156,952
  4. Step 4: Simplify right side
    104,022x = 24,633,930,304
  5. Step 5: Solve for x
    x = 24,633,930,304/104,022
  6. Step 6: Final answer
    x = 236,814.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.