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Finding the Third Proportional to 105,482.25 and 140,906.25

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Solution

The third proportional to 105,482.25 and 140,906.25 is: 188,226.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,482.25 : 140,906.25 = 140,906.25 : x
  2. Step 2: Convert to fraction form
    105,482.25/140,906.25 = 140,906.25/x
  3. Step 3: Cross multiply
    105,482.25x = 140,906.25 × 140,906.25
  4. Step 4: Simplify right side
    105,482.25x = 19,854,571,289.06
  5. Step 5: Solve for x
    x = 19,854,571,289.06/105,482.25
  6. Step 6: Final answer
    x = 188,226.66

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