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Finding the Third Proportional to 104,308.75 and 156,949.25

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Solution

The third proportional to 104,308.75 and 156,949.25 is: 236,155.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,308.75 : 156,949.25 = 156,949.25 : x
  2. Step 2: Convert to fraction form
    104,308.75/156,949.25 = 156,949.25/x
  3. Step 3: Cross multiply
    104,308.75x = 156,949.25 × 156,949.25
  4. Step 4: Simplify right side
    104,308.75x = 24,633,067,075.56
  5. Step 5: Solve for x
    x = 24,633,067,075.56/104,308.75
  6. Step 6: Final answer
    x = 236,155.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.