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Finding the Third Proportional to 63,684.14 and 134,954.02

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Solution

The third proportional to 63,684.14 and 134,954.02 is: 285,983.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,684.14 : 134,954.02 = 134,954.02 : x
  2. Step 2: Convert to fraction form
    63,684.14/134,954.02 = 134,954.02/x
  3. Step 3: Cross multiply
    63,684.14x = 134,954.02 × 134,954.02
  4. Step 4: Simplify right side
    63,684.14x = 18,212,586,333.31
  5. Step 5: Solve for x
    x = 18,212,586,333.31/63,684.14
  6. Step 6: Final answer
    x = 285,983.07

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.