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Finding the Third Proportional to 63,163.13 and 135,077.06

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Solution

The third proportional to 63,163.13 and 135,077.06 is: 288,868.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,163.13 : 135,077.06 = 135,077.06 : x
  2. Step 2: Convert to fraction form
    63,163.13/135,077.06 = 135,077.06/x
  3. Step 3: Cross multiply
    63,163.13x = 135,077.06 × 135,077.06
  4. Step 4: Simplify right side
    63,163.13x = 18,245,812,813.63
  5. Step 5: Solve for x
    x = 18,245,812,813.63/63,163.13
  6. Step 6: Final answer
    x = 288,868.11

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.