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Finding the Third Proportional to 45,685.13 and 68,527.69

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Solution

The third proportional to 45,685.13 and 68,527.69 is: 102,791.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,685.13 : 68,527.69 = 68,527.69 : x
  2. Step 2: Convert to fraction form
    45,685.13/68,527.69 = 68,527.69/x
  3. Step 3: Cross multiply
    45,685.13x = 68,527.69 × 68,527.69
  4. Step 4: Simplify right side
    45,685.13x = 4,696,043,954.10
  5. Step 5: Solve for x
    x = 4,696,043,954.10/45,685.13
  6. Step 6: Final answer
    x = 102,791.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.