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Finding the Third Proportional to 69,086.25 and 148,766.63

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Solution

The third proportional to 69,086.25 and 148,766.63 is: 320,346.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,086.25 : 148,766.63 = 148,766.63 : x
  2. Step 2: Convert to fraction form
    69,086.25/148,766.63 = 148,766.63/x
  3. Step 3: Cross multiply
    69,086.25x = 148,766.63 × 148,766.63
  4. Step 4: Simplify right side
    69,086.25x = 22,131,508,713.89
  5. Step 5: Solve for x
    x = 22,131,508,713.89/69,086.25
  6. Step 6: Final answer
    x = 320,346.07

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.