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Finding the Third Proportional to 103,309.80 and 156,524.27

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Solution

The third proportional to 103,309.80 and 156,524.27 is: 237,149.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,309.80 : 156,524.27 = 156,524.27 : x
  2. Step 2: Convert to fraction form
    103,309.80/156,524.27 = 156,524.27/x
  3. Step 3: Cross multiply
    103,309.80x = 156,524.27 × 156,524.27
  4. Step 4: Simplify right side
    103,309.80x = 24,499,848,175.14
  5. Step 5: Solve for x
    x = 24,499,848,175.14/103,309.80
  6. Step 6: Final answer
    x = 237,149.30

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.