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Finding the Third Proportional to 69,025.50 and 109,100.25

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Solution

The third proportional to 69,025.50 and 109,100.25 is: 172,441.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,025.50 : 109,100.25 = 109,100.25 : x
  2. Step 2: Convert to fraction form
    69,025.50/109,100.25 = 109,100.25/x
  3. Step 3: Cross multiply
    69,025.50x = 109,100.25 × 109,100.25
  4. Step 4: Simplify right side
    69,025.50x = 11,902,864,550.06
  5. Step 5: Solve for x
    x = 11,902,864,550.06/69,025.50
  6. Step 6: Final answer
    x = 172,441.55

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.