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Finding the Third Proportional to 105,995.25 and 148,550.63

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Solution

The third proportional to 105,995.25 and 148,550.63 is: 208,191.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,995.25 : 148,550.63 = 148,550.63 : x
  2. Step 2: Convert to fraction form
    105,995.25/148,550.63 = 148,550.63/x
  3. Step 3: Cross multiply
    105,995.25x = 148,550.63 × 148,550.63
  4. Step 4: Simplify right side
    105,995.25x = 22,067,288,187.89
  5. Step 5: Solve for x
    x = 22,067,288,187.89/105,995.25
  6. Step 6: Final answer
    x = 208,191.29

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.