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Finding the Third Proportional to 103,086.94 and 159,618.43

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Solution

The third proportional to 103,086.94 and 159,618.43 is: 247,151.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,086.94 : 159,618.43 = 159,618.43 : x
  2. Step 2: Convert to fraction form
    103,086.94/159,618.43 = 159,618.43/x
  3. Step 3: Cross multiply
    103,086.94x = 159,618.43 × 159,618.43
  4. Step 4: Simplify right side
    103,086.94x = 25,478,043,173.84
  5. Step 5: Solve for x
    x = 25,478,043,173.84/103,086.94
  6. Step 6: Final answer
    x = 247,151.04

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.